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Problem

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Textbook Expert
Textbook ExpertVerified Tutor
19 Dec 2021

Given information

The given expression is .

Step-by-step explanation

Step 1.

Consider the given acceleration function   and the initial velocity of the particle moving along the line  .

The objective is to find the following:

a) Velocity of the particle at time  .

b) Distance travelled during the interval  .

a)

It is given that the acceleration is  .

The relation between acceleration and velocity is,

 

Where   is the velocity at time .

Take the anti-derivative of acceleration to obtain velocity as shown below:

 

 

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