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7. You are given the position-time relationship below (where x is in meters and t is in seconds): 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): 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.

College Physics
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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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, xị 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.
Transcribed Image Text: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, xị 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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