First slide

Motion in a plane

Question

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?

Moderate

A
B
C
D

Solution

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

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