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## Homework Statement

The graph of acceleration versus time for an object in linear motion. Assuming the object starts from rest at the origin at t = 0, find the velocity and position of the object at times t = 1 through 10 seconds.

## Homework Equations

##v=v_i + at##

## The Attempt at a Solution

I searched online and found that the velocity is the area under the acceleration vs time graph, which is the integral of the acceleration vs time graph. Since the acceleration function wasn't given to me, I found the equation of the first part of the graph from (0 seconds to 2 seconds) by using basic algebra. I found that the line was ##y=\dfrac{5}{2}x##. Would it be correct to take the integral of ##y=\dfrac{5}{2}x## since it would give me the area under the curve? I took the integral with the limit from 0 to 2 and got 5m/s. The distance traveled from 0 seconds to 2 seconds is 10m (I found this by using s=d/t). Is this the correct approach to solving this?