1. A toy rocket rises from the ground with a constant upward acceleration of 5 m/s2 for 6 seconds while the rocket engine is on. The engine then runs out of the fuel. Assume that frictional forces are negligible, so the rocket is in free falI, i.e., the acceleration is 10 m/s2 down. After four more seconds a parachute is released, and the rocket falls to the ground at constant speed. Make a graph of the y-velocity vs. time for the first 20 seconds of the flight toy rocket with +y chosen to be up. Label your vertical axis with units (i.e., "time (sec)") a. and include numbers on axis.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
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A toy rocket rises from the ground
with a constant upward
acceleration of 5 m/s2 for 6
seconds while the rocket engine is
on. The engine then runs out of
the fuel. Assume that frictional
forces are negligible, so the rocket
is in free falI, i.e., the acceleration
is 10 m/s2 down. After four
more seconds a parachute is
released, and the rocket falls to
the ground at constant speed.
1.
vertical velocity of toy rocket
%3D
%3D
Make a graph of the y-velocity
vs. time for the first 20
seconds of the flight toy
а.
rocket with +y chosen to be
up. Label your vertical axis
with units (i.e., "time (sec)")
10
time (sec)
and include numbers on axis.
b. What is the rocket's height when the engine cuts off? Calculate this using the constant
equation for y. Start by writing out the equation symbolically and show the numbers y
your calculation. Label, i.e., "h = " and circle your final answer.
%D
The y displacement, Ay, is also the area "under" the v, vs. t graph. Calculate the
engine turns off using the area "under" the curve and check that it agrees with vou
numbers (with units) that you use. Label and circle your final answer
1
Transcribed Image Text:A toy rocket rises from the ground with a constant upward acceleration of 5 m/s2 for 6 seconds while the rocket engine is on. The engine then runs out of the fuel. Assume that frictional forces are negligible, so the rocket is in free falI, i.e., the acceleration is 10 m/s2 down. After four more seconds a parachute is released, and the rocket falls to the ground at constant speed. 1. vertical velocity of toy rocket %3D %3D Make a graph of the y-velocity vs. time for the first 20 seconds of the flight toy а. rocket with +y chosen to be up. Label your vertical axis with units (i.e., "time (sec)") 10 time (sec) and include numbers on axis. b. What is the rocket's height when the engine cuts off? Calculate this using the constant equation for y. Start by writing out the equation symbolically and show the numbers y your calculation. Label, i.e., "h = " and circle your final answer. %D The y displacement, Ay, is also the area "under" the v, vs. t graph. Calculate the engine turns off using the area "under" the curve and check that it agrees with vou numbers (with units) that you use. Label and circle your final answer 1
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