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Northbysouth

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**Find the Velocity when acceleration is not constant**

## Homework Statement

A particle moves along the positive x-axis with an acceleration in meters per second squared which increases linearly with x expressed in millimeters, as shown on the graph for an interval of its motion. If the velocity of the particle at x = 40 mm is 0.36 m/s, determine the velocity at x = 130 mm.

I have attached an image of the question.

## Homework Equations

## The Attempt at a Solution

I had thought to use:

v

_{x}= v

_{0x}+at

or

s = s

_{0}+ v

_{0x}t +1/2*at

^{2}

But due to the acceleration not being constant these equations are not suitable. I'm guessing that I need an integral but I'm not sure how to start. Any help would be appreciated.

#### Attachments

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