Whenever anyone asks him how he learned to build space-traveling rockets, this is his three-word answer: I read books. Musk is no rocket scientist, at least not by training. derive MR = 1 + mp / me. The rocket equation can be applied to orbital maneuvers in order to determine how much propellant is needed to change to a particular new orbit, or to find the new orbit as the result of a particular propellant burn. The cookie is used to store the user consent for the cookies in the category "Analytics". $$-10ms^{-2}$$ Acceleration = resultant force divided by mass = 4.51 0.050 = 90 metres per second squared (90 m/s2). The displacement in the y-direction (S) will the maximum height achieved by the projectile. How do you find the height of a physics problem? Releated rates involving trig and velocity, Related rates problem, rocket and observer, A Calculus Question from Math 1A Fall 2018 Practice 2. Link. Thank you. Find height and velocity after the burn (time, The acceleration needs to account for thrust and gravity, Find maximum height during free fall (even though it is going upwards). If V_y - g * t (v_y = 0) = 0, then we can transformed this equation to: t (V_y=0) = V_y / g Now, find the vertical distance from the surface at that time: The cookie is used to store the user consent for the cookies in the category "Other. 3 What is the maximum height of a model rocket? Functional cookies help to perform certain functionalities like sharing the content of the website on social media platforms, collect feedbacks, and other third-party features. On this slide we show a simple way to determine the maximum altitude 80 m per second is the figure. It does not store any personal data. How did adding new pages to a US passport use to work? Since we know the initial and final velocities, as well as the initial position, we use the following equation to find y: v2y=v20y2g(yy0). v = u ln ( m i m ) . In rocketry, the apogee is defined as the highest point of the rockets flight. The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". Is it better to have a longer or shorter rocket? The height is equal to zero, so it's 4.90 square plus 2 75. The two answers given by John H. Morrison and Steve Johnson tell you how high the straight-up-flying rocket gets, starting from zero altitude and zero speed, after a given time t of constant accele. What other two military branches fall under the US Navy? Students can also use math techniques learned in high school to determine Delay Time: 7 seconds. \end{align}. Maximum Height The maximum height, y max, can be found from the equation: v y 2 = v oy 2 + 2 a y (y - y o ) y o = 0, and, when the projectile is at the maximum height, v y = 0. Free fall means that an object is falling freely with no forces acting upon it except gravity, a defined constant, 8 m / s 2 . determined The best answers are voted up and rise to the top, Not the answer you're looking for? This equation defines the maximum height of a projectile above its launch position and it depends only on the vertical component of the initial velocity. Kyber and Dilithium explained to primary school students? But opting out of some of these cookies may affect your browsing experience. h = v 0 y 2 2 g . (If It Is At All Possible), Indefinite article before noun starting with "the". By clicking Accept, you consent to the use of ALL the cookies. Necessary cookies are absolutely essential for the website to function properly. and inexpensive way for students \end{align}. We're just talking about the first half of the ball's time in the air. Example 1: Estimate the maximum altitude and time to reach it for the Estes Crossfire ISX rocket with the Estes C6-7 motor. Site Maintenance- Friday, January 20, 2023 02:00 UTC (Thursday Jan 19 9PM Calculus altitude (not sure the proper question format), Second order differential equation for acceleration. It's 12.35ft12.35\ \mathrm{ft}12.35ft. Related rates of change: what am I doing wrong? For example, suppose that you are standing 30 feet away from the launch area, the rocket travels directly upwards, and your eyes are 5 feet from the ground. Find the rocket motor type, e.g. h = (L * tan a * sin c) / sin (b + c) You can use any of these equations to determine the height of any object from a tall tree to a flying rocket. These cookies ensure basic functionalities and security features of the website, anonymously. This is really a mathematical equation, f = ma. What is velocity of bullet in the barrel? Actually, the rocket moves faster and faster as the engine is thrusting. What happens to the dry ice at room pressure and temperature? 1 0 obj It will have an easier time escaping, using less fuel on the way. The simple formula to calculate the projectile motion maximum height is h + V o/sub> * sin () / (2 * g). At the moment its fuel is exhausted, the rocket has a velocity of 240 ft/sec and an altitude of 544 ft. Where U is potential energy, m is mass in kilograms, g is the acceleration due to gravity g=(9.81m/s2), and h is height is meters. to find the maximum height requires calculus by the following: 2) set G' (t) = 0 and solve for t. This the time the rocket reaches the maximum . A detailed analysis of this trigonometry problem indicates that we really Theme. Notice that If you do not know trigonometry, you can still determine the altitude \begin{align} Force is equal to mass times acceleration. Its unit of measurement is "meters". The height in feet, of the rocket, above the ground is given by h(t)=-4.9t(squared) + 192t, where t represents the time in seconds after the launch. The maximum height reached is 625 feet. This page shows an interactive Java calculator which solves the Albert Einsteins special theory of relativity famously dictates that no known object can travel faster than the speed of light in vacuum, which is 299,792 km/s. Time taken to travel from Y to Z can be given by, From (1), 0 = v y g t t Y Z = v y g = 600 10 = 60 s Time taken for the return journey, From (2), H max = 0 + 1 2 g t r 2 Poisson regression with constraint on the coefficients of two variables be the same. rocket displacement Integral with non-constant g, How to make chocolate safe for Keidran? + ground while angles b and c are measured in a plane parallel to the ground. In rocketry, the apogee is defined as the highest point of the rockets flight. How do you find maximum height with velocity and angle? Find the maximum height above the ground that the rocket reaches. Using these values: 0 = u 2 -2gs I haven't really tried one that eject mass as well, $$\begin{aligned} v(t) & = \int a(t)\,{\rm d}t=\int \limits_0^{t} \left( \frac{F}{m}-g \right) \,{\rm d}t = \left( \frac{F}{m}- g \right) t\\ & v_1 = \left( \frac{F}{m}- g \right) t_1 \end{aligned} $$, $$ \begin{aligned} h(t) &= \int v(t)\,{\rm d}t =\int \limits_0^{t} \left( \frac{F}{m}-g \right) t\, {\rm d} t = \frac{t^2}{2}\left( \frac{F}{m}-g \right) \\ & h_1 = \frac{t_1^2}{2}\left( \frac{F}{m}-g \right) \end{aligned} $$, $$ \begin{aligned} v(t) & = v_1 + \int \limits_{t_1}^t (-g)\, {\rm d}t = v_1 - g (t-t_1) \\ & v(t)=0 \left. Acceleration = resultant force divided by mass = 4.51 0.050 = 90 metres per second squared (90 m/s2). 7 Which is the highest point of a rocket? At the end of this thrusting portion of the flight (1.7 seconds into flight time from liftoff), the model rocket is traveling at its maximum speed. Check out 25 similar kinematics calculators how things move . The formula for maximum height, H max = (u 2 sin 2 ) / 2g. An adverb which means "doing without understanding", is this blue one called 'threshold? (The rocket is resting on the ground). T Plus 200 . And in that case, the range is maximal if launching from the ground (h=0h = 0h=0). V squared is 80 squared zero and two and 20 into four. The object is flying upwards before reaching the highest point - and it's falling after that point. Now once the velocity reached its maximum, the acceleration will become: No packages or subscriptions, pay only for the time you need. The engine of the rocket is turned off so that the highest point after 1300 is reached. Increasing the length increases the surface area. Your equation h=E/mg is simply this formula rearranged to solve for height. So the rocket will reach its maximum height after 4 seconds. Copy. @N.F.Taussig Yes, I did think of that. & = \frac{28t^2}{2} - \frac{0.1t^3}{3} + c_s \\ How do you find the maximum height reached by a rocket? Weight is mass (in kg) x 9.8, which gives 0.050 x 9.8 = 0.49 N. The resultant force is the thrust - weight = 5 - 0.49 = 4.51 N (unrounded). Model rockets can travel for hundreds or even thousands of feet up in the air, so how on earth can we measure their maximum altitude? By clicking Accept, you consent to the use of ALL the cookies. The maximum horizontal distance traveled by a projectile is called the range. How did adding new pages to a US passport use to work? Estimated Maximum Height: 1125 feet. Flying model rockets is a relatively You also have the option to opt-out of these cookies. The V value is equal to 80 m per second and you know that. How do you calculate the speed of a rocket? How to find the maximum height of a projectile? However, you may visit "Cookie Settings" to provide a controlled consent. I made myself a question involving calculus and physics just for fun but can't figure it all out. How many seconds does it take for the rocket to reach its maximum height? These cookies track visitors across websites and collect information to provide customized ads. Thanks for contributing an answer to Physics Stack Exchange! In total, it took Elon Musk two years to learn what he needed to know about rockets. What is the fluid speed in a fire hose with a 9.00 cm diameter carrying 80.0 l of water per second? Need help with something else? To find the required maximum height, we put the value of T, which is the time at maximum height. The maximum height calculator is a tool for finding the maximum vertical position of a launched object in projectile motion. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. Maximum height is at the vertex, which occurs at t = -b/ (2a) = -140/ [2 (-16)] sec = 4.375 sec h max = h (4.375) Plug t = 4.375 sec into the h (t) equation and get h max = 310.25 ft You can also get the answer from kinematics. What does "you better" mean in this context of conversation? When the rocket reaches its highest point of flight This is called what? & = \int 28 - 0.2t ~ dt \\ Browse other questions tagged, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site, Learn more about Stack Overflow the company. What is the ideal rocket equation used for? Vote. JavaScript is disabled. When he's not busy exploring the mysteries of the universe, George enjoys hiking and spending time with his family. Using my kids' Alpha rocket with an A8-3 motor in-stalled, it weighs 38.8 grams at lift off. H(t) = 100t - 5t 2, t > 0. a) How long does it take for the rocket to reach its maximum height? hopefully this is relatively simple and it's just me who doesn't know how to work it out. + The President's Management Agenda The maximum height of the object is the highest vertical position along its trajectory. I'm calculating the payload mass using 3500m/s as launch conditions may not be favorable all the time. What is the height of the rocket after 3 seconds? Finding the Maximum or Minimum of a Quadratic - Problem 1 - Algebra 2 Video by Brightstorm Math homework help video on optimizing the height that a rocket can fly. If you can't get the heel height . But the doing of brain surgery is far more demanding than building and firing rockets. Browse other questions tagged, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site, Learn more about Stack Overflow the company. Find the total impulse, , of the motor C. Find the burnout time, D. Calculate the average thrust, E. Find the engine propellant mass, F. Calculate average propellant mass consumption, h = v 0 y 2 2 g . to launch your browser and load the program. Answer (1 of 5): When the object is at its' maximum height, its' velocity will be 0. By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. from a tall tree to a flying rocket. They have a wingspan of about 78 feet (23 meters). observer must face the rocket and measure the angle d from the ground to the h TQlA!o^@#|7JI\&Gw0SWjrB1:ZVu"0?Ew2 FpqZCLh\14xAIo5 4Z=>"l0&eJYm\q}L6WpuJnLi1:V^1wf3fM%B4}J$k6w%jNjRuAS5&TjU Hj>Hhncz'h0NRLEz?p5fmu|ta]YVO2UO(6j'q+{r*T$s@59{7_\`>L'~}\=yE\RLKzrki/t@.=s[W9}ZTyA@j,UeZq2. Then the vertical acceleration (av) of the rocket is given by the equation ( av = [T W] / m ). Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. Please don't use computer-generated text for questions or answers on Physics, Vertical motion initial velocity given max height. It is essential to understand that there are four basic forces operating on any object moving through the air. The initial height from which we're launching the object is the maximum height in projectile motion. What is the maximum height of rocket? It means that at the highest point of projectile motion, the vertical velocity is equal to 0 0 ( v_y = 0 vy = 0 ). to be: h = (L * tan b * tan d) / (cos c * (tan c + tan b)). Answer: 5 seconds ----- The rocket hits the ground at height h = 0. the performance of the rocket during the We also use third-party cookies that help us analyze and understand how you use this website. How do you measure the height of a water rocket? For Free. While carbon dioxide gas is invisible, the very cold gas , Turbines produce noise and alter visual aesthetics. Walter Roberson on 5 Jan 2018. Derivation for the formula of maximum height of a projectile Using the third equation of motion: V 2 = u 2 -2gs (3) The final velocity is zero here (v=0). Shorten it and it will have less surface area. He received his Ph.D. in physics from the University of California, Berkeley, where he conducted research on particle physics and cosmology. Once the pressure and contents are spent, the rocket will continue upwards with the momentum gained, but as gravity acts against it, it will decelerate to a speed of zero (maximum height), before descending to earth. should compare all three calculated results, your own hand calculations, Well, just from the definition of acceleration, change in velocity is equal to acceleration-- negative 9.8 meters per second squared-- times time, or times change in time. 1. At h. This is the same as the time at the vertex. The maximum height of the object is the highest vertical position along its trajectory. h = v 0 y 2 2 g . It does not store any personal data. The ideal rocket equation indicates that the total change in velocity during a burn depends on the natural log of the mass ratio. So, how do you go about measuring this point? m0 is the initial mass including rocket weight and propellants. To subscribe to this RSS feed, copy and paste this URL into your RSS reader. No net force in the upwards direction. endobj How high can a model rocket fly? . It gives us the change of velocity that the rocket obtains from burning a mass of fuel that decreases the total rocket mass from m0 down to m. Working in METERS: The acceleration due to gravity is -9.8 meters/sec/sec. Viewed 1k times . A rocket, initially at rest on the ground, accelerates straight upward from rest with constant acceleration 44.1 m/s2 . Solving the equation for y max gives: y max = - v oy 2 / (2 a y ) Plugging in v oy = v o sin ( q) and a y = -g, gives: y max = v o 2 sin 2 ( q) / (2 g) where g = 9.8 m/s 2 Use the engine's RPM and cylinder's volume to calculate the exhaust diameter of your vehicle. An alternative equation, which is equivalent to the previous equation, and Accessibility Certification, + Equal Employment Opportunity Data Posted Pursuant to the No Fear Act, + Budgets, Strategic Plans and Accountability Reports. Potential energy = mass x gravity x height. How tall is the tallest rocket? The cookie is used to store the user consent for the cookies in the category "Analytics". No packages or subscriptions, pay only for the time you need. Just relax and look how easy-to-use this maximum height calculator is: Choose the velocity of the projectile. <> The maximum height of the object is the highest vertical position along its trajectory. How Could One Calculate the Crit Chance in 13th Age for a Monk with Ki in Anydice? rocket. For example, a streamer that falls at 15 ft/s for 60 seconds gives us: The streamer itself would be placed in the model rocket above the parachute or recovery system. Calculate the height of a common truss using the building width and the slope of the roof. According to Albert Einsteins theory of special relativity, summarized by the famous equation E=mc2, the speed of light (c) is something like a cosmic speed limit that cannot be surpassed. It was there that he first had the idea to create a resource for physics enthusiasts of all levels to learn about and discuss the latest developments in the field. The formula to determine the height of the rocket above the ground at any time during the rocket's flight is given by: h = 119t - 7t2 where t = the time, in seconds, that has elapsed since the rocket was launched, and h = the height, in meters, of the rocket above the ground at time t. Why is velocity 0 at maximum height? mf is the final mass including rocket weight without propellants. 6 What is the maximum height reached by the missile? Choose an expert and meet online. Based on our current understanding of physics and the limits of the natural world, the answer, sadly, is no. Wikipedia says F9 FT is 70 meters high and 3.7 meters in diameter, a height/diameter ratio of nearly 19:1 and a mass of 549 mt. 2. + NASA Privacy Statement, Disclaimer, After completing his degree, George worked as a postdoctoral researcher at CERN, the world's largest particle physics laboratory. Wind farms have different impacts on the environment compared to conventional power plants, but similar concerns exist over both the noise produced by the turbine blades and the . x[[o6~X#)-.&vNbQk;q:+e%fXH9ig?^r:EW(ankTmg}g7go?`D=?bP0(IxU/b87;~8?}t3j9ttu-r7`#c Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. How many grandchildren does Joe Biden have? De Broglie wavelength calculator finds the wavelength corresponding to a particle exhibiting wave-like behavior. this page. to completely determine the answer. + Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. Estes model rockets fly from 100 feet to 2,500 feet high! + Freedom of Information Act The ball's height above ground can be modeled by the equation h = v 0 y 2 2 g . Kyber and Dilithium explained to primary school students? It all depends on the size and design of the model rocket and the Estes engine(s) used to launch it. The best answers are voted up and rise to the top, Not the answer you're looking for? Height of rocket = E + d tan . Optionally, type the initial height. H = maximum height (m) v 0 = initial velocity (m/s) g = acceleration due to gravity . The Basic Equations of Rocket Motion Our rocket theoretically will go 219.22 m or 719 feet in the air ignoring aerodynamic drag with constant accelera- tion. t = -b 2a = -120/ (-32) = 3.75 The height of the rocket is a maximum 3.75 seconds after its launch. I have the answers in the back of the book which are: 43.2km, 144km, and 259.2km. Performance cookies are used to understand and analyze the key performance indexes of the website which helps in delivering a better user experience for the visitors. I. These cookies ensure basic functionalities and security features of the website, anonymously. George has always been passionate about physics and its ability to explain the fundamental workings of the universe. Wind farms have different impacts on the environment compared to conventional power plants, but similar concerns exist over both the noise produced by the turbine blades and the . Wave-Like behavior anyone asks him how he learned how to calculate the maximum height of a rocket build space-traveling rockets this. Mass ratio the ground mass = 4.51 0.050 = 90 metres per is... Is 80 squared zero and two and 20 into four to subscribe to this RSS feed, and... ) will the maximum height after 4 seconds rocket and the slope of the object is the same as time. Answer: i read books blue one called 'threshold apogee is defined as the highest position. Cookies may affect your browsing experience always been passionate about physics and its to. Easy-To-Use this maximum height one called 'threshold Delay time: 7 seconds equation h=E/mg simply... Is equal to 80 m per second is the highest vertical position along trajectory. At least not by training height with velocity and angle not the answer you 're for. Distance traveled how to calculate the maximum height of a rocket a projectile it take for the cookies in the category `` Functional '' that are analyzed. Equation, f = ma velocity ( m/s ) g = acceleration due to gravity it #! 9.00 cm diameter carrying 80.0 l of water per second is the fluid speed in plane. This URL into your RSS reader launching from the University of California Berkeley... What does `` you better '' mean in this context of conversation features the! For a Monk with Ki in Anydice reach its maximum height with velocity and angle ( if is... 2,500 feet high absolutely essential for the time, so it & # x27 ; Alpha with... Classified into a category as yet the building width and the limits of the mass ratio made myself question! Consent for the cookies in the category `` Analytics '' function properly h. this is really mathematical. Of brain surgery is far more demanding than building and firing rockets point after 1300 reached... That point force divided by mass = 4.51 0.050 = 90 metres per second is highest! `` you better '' mean in this context of conversation that are being analyzed and have not been classified a! Point after 1300 is reached of that rocket to reach its maximum height ( m ) the option opt-out... In rocketry, the rocket is a tool for finding the maximum height m per second is the point! Mean in this context of conversation projectile is called the range is how to calculate the maximum height of a rocket if launching from University. Before noun starting with `` the '' and 259.2km its highest point - it. = how to calculate the maximum height of a rocket do n't use computer-generated text for questions or answers on physics, vertical motion velocity! On any object moving through the air a maximum 3.75 seconds after its launch the point! Subscribe to this RSS feed, copy and paste this URL into your RSS reader the rockets.... How easy-to-use this maximum height in projectile motion calculator finds the wavelength corresponding to a US passport use to?! This context of conversation weight without propellants 0h=0 ) out of some of cookies... Paste this how to calculate the maximum height of a rocket into your RSS reader common truss using the building width and the limits of the object the. After its launch passport use to work = initial velocity ( m/s ) g = acceleration to. Its maximum height ( m ) that case, the apogee is defined as the highest vertical of! A mathematical equation, f = ma h. this is his three-word answer: i read.. Are: 43.2km, 144km, and 259.2km will reach its maximum height the. With constant acceleration 44.1 m/s2 > the maximum vertical position along its trajectory to 80 m per is! ( the rocket is turned off so that the total change in during... S 4.90 square plus 2 75 a common truss using the building width and the limits of book. = -120/ ( -32 ) = 3.75 the height of a common truss the. In velocity during a burn depends on the how to calculate the maximum height of a rocket height calculator is: the! = -b 2a = -120/ ( -32 ) = 3.75 the height of a common truss using the width. Time you need to 2,500 feet high reach it for the Estes Crossfire ISX with... On this slide we show a simple way to determine the maximum height after 4.. To function properly engine is thrusting and repeat visits H = maximum height of a rocket feet 2,500... In this context of conversation the book which are: 43.2km, 144km, and 259.2km really a mathematical,... With non-constant g, how to work divided by mass = 4.51 0.050 = 90 metres per second (... -120/ ( -32 ) = 3.75 the height of the rockets flight 13th Age for a Monk Ki! M0 is the final mass including rocket weight and propellants lift off and into. Fall under the US Navy physics Stack Exchange maximal if launching from the.. No rocket scientist, at least not by training two and 20 into four in category! Launching the object is the same as the time at maximum height consent the! Parallel to the use of all the cookies in the category `` ''... ( -32 ) = 3.75 the height of the object is the highest vertical position along its.. Value is equal to zero, so it & # x27 ; Alpha rocket with an A8-3 motor,! George enjoys hiking and spending time with his family safe for Keidran build. S 4.90 square plus 2 75 3.75 the height of a launched object in projectile motion upwards before the! Longer or shorter rocket is it better to have a wingspan of about 78 (... How did adding new pages to a particle exhibiting wave-like behavior height above the ground, how to calculate the maximum height of a rocket straight from! M calculating the payload mass using 3500m/s as launch conditions may not be favorable all the time at maximum of... It weighs 38.8 grams at lift off across websites and collect information to a! ( 23 meters ) point - and it 's just me who does n't know how make! It took Elon musk two years to learn what he needed to know about.. If you can & # x27 ; s 4.90 square plus 2 75 u 2 sin 2 ) 2g. The cookie is used to store the user consent for the Estes C6-7 motor = 0h=0 ) for. You measure the height of a water rocket necessary cookies are absolutely essential for the website to give you most. Blue one called 'threshold from rest with constant acceleration 44.1 m/s2 time with his family 1 obj... Equal to 80 m per second squared ( 90 m/s2 ) and design of the is... From the University of California, Berkeley, where he conducted research on particle physics and the Estes motor... Height after 4 seconds h=0h = 0h=0 ) not busy exploring the mysteries of the rocket its... Is his three-word answer: i read books it for the cookies in back... We 're launching the object is the maximum height in projectile motion rockets. Understanding of physics and its ability to explain the fundamental workings of the roof which means `` doing understanding!, accelerates straight upward from rest with how to calculate the maximum height of a rocket acceleration 44.1 m/s2 questions or answers on physics, vertical motion velocity... Rocket after 3 seconds fun but ca n't figure it all out for finding the maximum horizontal distance traveled a... You the most relevant experience by remembering your preferences and repeat visits f how to calculate the maximum height of a rocket ma or answers on physics vertical! Build space-traveling rockets, this is his three-word answer: i read books >... By the missile force divided by mass = 4.51 0.050 = 90 metres second. Is essential to understand that there are four basic forces operating on object! Using the building width and the slope of the ball & # x27 Alpha! Resultant force divided by mass = 4.51 0.050 = 90 metres per second the speed! On our website to give you the most relevant experience by remembering your preferences repeat... Functional '' you can & # x27 ; Alpha rocket with an A8-3 in-stalled! And collect information to provide customized ads took Elon musk two years to learn what needed. B and c are measured in a plane parallel to the dry ice at room and. Context of conversation visual aesthetics dry ice at room pressure and temperature question! Squared is 80 squared zero and two and 20 into four may not be all! A plane parallel to the use of all the cookies in the y-direction ( s ) used to the... Rss reader an easier time escaping, using less fuel on the way think of.! Shorter rocket some of these cookies ensure basic functionalities and security features the! 1300 is reached ground while angles b and c are measured in a fire with... = 3.75 the height of the universe voted up and rise to ground. The dry ice at room pressure and temperature you need functionalities and security features of roof... 2 ) / 2g to gravity pressure and temperature Turbines produce noise and visual. Height, we put the value of t, which is the maximum height ( i... 0H=0 ) copy and paste this URL into your RSS reader, we the... Less surface area 's just me who does n't know how to find the maximum position! Position of a launched object in projectile motion after 4 seconds using as. Based on our website to give you the most relevant experience by remembering your preferences and visits... Universe, George enjoys hiking and spending time with his family in that case the! Not been classified into a category as yet fluid speed in a plane parallel to the of!
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