One-Dimensional Rocket Kinematics A model rocket of mass m = 10 kg launches vert
ID: 1915850 • Letter: O
Question
One-Dimensional Rocket Kinematics A model rocket of mass m = 10 kg launches vertically from a launch pad at height y = 0 m and time t = 0s, with initial vertical velocity vy0 = 0 m/s. For the remainder of this problem, assume that the rocket's mass is constant and that the rocket is on Earth. The rocket engines exert a thrust (force) of F = 300 N downwards at the start of the flight. What is the net vertical acceleration ay of the rocket upward in m/s2? The rocket engines exert that thrust for t1 = 5 seconds. What is the rocket's height h1 at the end of that five seconds, in meters? After the thrust in part , the rocket engines shut off and the rocket continues upward subject to only the vertical acceleration of gravity. Find the maximum height of the rocket above the ground, hmax, in meters. Find the final velocity of the rocket when it hits the ground in m/s, and the time that it hits the ground in seconds.Explanation / Answer
A) F - mg = ma
a = (300 - 10*9.8)/10 = 20.2 m/s^2
B) Height = voy*t + 1/2*a*t^2 = 1/2*20.2*5^2=252.5m
C) Velocity at that instant(v)= 20.2*5 = 101 m/s
Max height above ground = 252.5 + v^2/2g = 772.95m
D) final velocity = 2*g*hmax = 123.08m/s
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