Answered: a) displacement and distance traveled…

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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The equation

x(t) = −bt² + ct³

gives the position of a particle traveling along the x axis at any time. In this expression,

b = 6.00 m/s²,

c = 4.00 m/s³,

and x is in meters when t is entered in seconds. For this particle, determine the following. (Indicate the direction with the sign of your answer as applicable.)

(a) displacement and distance traveled during the time interval

t = 0

t = 3 s

(Enter your answers to at least two decimal places.)

(b) average velocity and average speed during the time interval

t = 0

t = 3 s

(Enter your answers to at least two decimal places.)

(c) average acceleration during the time interval

t = 0

t = 3 s

Expert Solution

Step 1

Particle’s position at t= 0s,

Here, t represents the time.

Substitute the relevant values.

Particle’s position at t= 3s,

Substitute the relevant values.

The particle’s displacement can be represented as,

Substitute the relevant values.

Now, let us find the turning point of the particle,

Substitute the relevant values.

Thus, the particle changes direction at t = 1s.

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