The graph below shows relationship between speed and elapsed time for a car moving in a straight line what is the magnitude of the acceleration of the car

Explanation:

The acceleration of an object is the rate of change of velocity of an object.

Mathematically, it is given by:

where

is the change in velocity

is the change in time

In this problem, we have a graph of the speed (which is equal to the velocity, since the motion is in a straight line) versus the time. Therefore, the slope of the graph is exactly equal to the acceleration of the object:

So, we can find the magnitude of the acceleration of the car by evaluating the slope of this line.

Taking the last point (12.0 s, 15.0 m/s) and the starting point (0 s, 0 m/s), we have:

So, the acceleration is:

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