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  4. Acceleration versus time graphs for four objects are shown below. All axes have the same scale. Which object had the greatest change in velocity during the interval?

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Q. Acceleration versus time graphs for four objects are shown below. All axes have the same scale. Which object had the greatest change in velocity during the interval?

Motion in a Straight Line

Solution:

In option (b) area of graph is $\frac{1}{2} t_0a_0$. But in options (a) and (c) area is less than $\frac{1}{2}t_0a_0$. In option (d), area is more than $\frac{1}{2} t_0a_0$. So in option (d) change in velocity is greatest.