First slide

Average Velocity

Question

A particle starts from rest. a(m/s²) Its acceleration (a) versus time (r) is as shown in the Figure. The maximum speed of the particle will be:

Easy

A

110 m/s
B

55 m/s
C

550 m/s
D

660 m/s

Solution

Maximum velocity will be at t = 11s because up to this time acceleration remained positive.
Velocity = Area of a-t graph $\frac{1}{2} \times 10 \times 11 = 55 m / s$

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