   Chapter 4.4, Problem 94E

Chapter
Section
Textbook Problem

Particle Motion In Exercises 93-98, the velocity function, in feet per second, is given for a particle moving along a straight line, where t is the time in seconds. Find (a) the displacement and (b) the total distance that the particle travels over the given interval. v ( t ) = t 2 − t − 12 ,       1 ≤ t ≤ 5

(a)

To determine

To calculate: The displacement of the car travelling in straight line.

Explanation

Given:

The velocity function in feet per second, v(t)=t2t12 in the interval 1t5

Formula used: The displacement can be found by following formula

Displacement=abv(t)dt

Calculation:

Displacement=15(t2t12)dt=[t33t2212t]15=[53352212(5)][<

(b)

To determine

To calculate: The distance of the car travelling in straight line.

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