Question

A particle starts from rest. Its acceleration (a) versus time (t)
graph is as shown in the figure. The maximum speed of the
particle will be

• A. 11 m/s
• B. 55 m/s
• C. 550 m/s
• D. 66 m/s

Answer 1

The correct option is B 55 m/s

Acceleration is + ve till it becomes zero. Thus velocity is maximum at t = 11s
Area under a - t graph = change in velocity
$\frac{1}{2}\times 11\times 10=v-0$
$\Rightarrow v=55m{s}^{-1}$