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 racket is in free fall, 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. a. 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 axis with units (i.e., "time (sec)") and include numbers on axis. 40 30 20 10 0 -10 -20 0 5 vertical velocity of toy rocket 10 time (sec) 15 20 b. What is the rocket's height when the engine cuts off? Calculate this using the constant acceleration kinematics equation for y. Start by writing out the equation symbolically and show the numbers you use. Carry units in your calculation. Label, i.e., "h=" and circle your final answer. c. The y displacement, Ay, is also the area "under" the Vy vs. t graph.¹ Calculate the height when the rocket engine turns off using the area "under the curve and check that it agrees with your previous answer. Show numbers (with units) that you use. Label and circle your final answer.

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 racket is in free fall, 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. a. 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 axis with units (i.e., "time (sec)") and include numbers on axis. 40 30 20 10 0 -10 -20 0 5 vertical velocity of toy rocket 10 time (sec) 15 20 b. What is the rocket's height when the engine cuts off? Calculate this using the constant acceleration kinematics equation for y. Start by writing out the equation symbolically and show the numbers you use. Carry units in your calculation. Label, i.e., "h=" and circle your final answer. c. The y displacement, Ay, is also the area "under" the Vy vs. t graph.¹ Calculate the height when the rocket engine turns off using the area "under the curve and check that it agrees with your previous answer. Show numbers (with units) that you use. Label and circle your final answer.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

Question

Activity 1.8-One Dimensional Kinematics Problems I
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 racket is
in free fall, 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.
a. 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 axis
with units (i.e., "time
(sec)") and include
numbers on axis.
(5/2)^
40
30
20
10
0
-10
-20
0
5
vertical velocity of toy rocket
10
time (sec)
15
20
b. What is the rocket's height when the engine cuts off? Calculate this using the constant acceleration
kinematics equation for y. Start by writing out the equation symbolically and show the numbers you
use. Carry units in your calculation. Label, i.e., "h=" and circle your final answer.
c. The y displacement, Ay, is also the area "under" the vy vs. t graph.¹ Calculate the height when the
rocket engine turns off using the area "under the curve and check that it agrees with your previous
answer. Show numbers (with units) that you use. Label and circle your final answer.
d. What is the maximum height reached by the rocket? Hint: First, determine the time the rocket reaches
its maximum height. It is not at 6 seconds!
f.
What is the height of the racket when the parachute deploys?
What is the total amount of time the rocket is in the air before it reaches the ground again?

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