7. You are given the position-time relationship below (where x is in meters and t is in seconds): 1 x =t3 – 3t + 50 - a.) Find the expression for velocity. b.) Find the expression for acceleration. c.) Produce graphs of position-time, velocity-time, acceleration-time. Make sure that the x-t, v- t, and a-t graphs are drawn to scale and aligned vertically below each other. d.) Is the acceleration constant or changing with time? e.) Find: 1- The initial position, x 2- Displacement for the time interval t= [0, 60]. 3- Position at t= 25 s. 4- Average velocity for the time interval t= [0, 60]. 5- Velocity at t = 0 and at t= 25. 6- Acceleration at t=0 and at t= 25.

7. You are given the position-time relationship below (where x is in meters and t is in seconds): 1 x =t3 – 3t + 50 - a.) Find the expression for velocity. b.) Find the expression for acceleration. c.) Produce graphs of position-time, velocity-time, acceleration-time. Make sure that the x-t, v- t, and a-t graphs are drawn to scale and aligned vertically below each other. d.) Is the acceleration constant or changing with time? e.) Find: 1- The initial position, x 2- Displacement for the time interval t= [0, 60]. 3- Position at t= 25 s. 4- Average velocity for the time interval t= [0, 60]. 5- Velocity at t = 0 and at t= 25. 6- Acceleration at t=0 and at t= 25.

Glencoe Physics: Principles and Problems, Student Edition

1st Edition

ISBN:9780078807213

Author:Paul W. Zitzewitz

Publisher:Paul W. Zitzewitz

Chapter2: Representing Motion

Section: Chapter Questions

Problem 67A

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Question

can anyone solve this for me
thanks

7. You are given the position-time relationship below (where x is in meters and t is in
seconds):
x =t3 - 3t+ 50
a.) Find the expression for velocity.
b.) Find the expression for acceleration.
c.) Produce graphs of position-time, velocity-time, acceleration-time. Make sure that the x-t, v-
t, and a-t graphs are drawn to scale and aligned vertically below each other.
d.) Is the acceleration constant or changing with time?
e.) Find:
1- The initial position, x
2- Displacement for the time interval t= [0, 60].
3- Position at t= 25 s.
4- Average velocity for the time interval t= [0, 60].
5- Velocity at t= 0 and at t= 25.
6- Acceleration at t=0 and at t
= 25.

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