1. The position of a particle as a function of time is given as: Position(t) = 4 b t3 – 3 ct2 + d a. What are the units of the constants b,c and d? b. What is the position at time t= 0,1,2,5 s? c. What is the instantaneous velocity at time t= 0,1,2,5 s. d. What is the average velocity between 0-1 s; 0-2 s; 0-5 s? e. What’s the difference between average and instantaneous velocity? f. What’s the instantaneous acceleration at t= 0, 1,2,5 s? g. Can the equations of constant linear acceleration be used in this situation? Why or why not?

Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter4: Motion In Two Dimensions
Section: Chapter Questions
Problem 36AP: A particle starts from the origin with velocity 5im/s at t = 0 and moves in the xy plane with a...
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1. The position of a particle as a function of time is given as: Position(t) = 4 b t3 – 3 ct2 + d

a. What are the units of the constants b,c and d?

b. What is the position at time t= 0,1,2,5 s?

c. What is the instantaneous velocity at time t= 0,1,2,5 s.

d. What is the average velocity between 0-1 s; 0-2 s; 0-5 s?

e. What’s the difference between average and instantaneous velocity?

f. What’s the instantaneous acceleration at t= 0, 1,2,5 s?

g. Can the equations of constant linear acceleration be used in this situation? Why or why not?

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