Question

A body initially at rest is moving along x-axis in such a way that its acceleration vs displacement plot is as shown in figure. What will be the maximum velocity of particle in m/sec?

• A. 1
• B. 2
• C. 3
• D. 5

Answer 1

The correct option is A 1

$vdv/ds=a$
$vdv=ads$
$\frac{v_f^2}{2}-\frac{v_i^2}{2}$ = Area under (a - s) curve
$=\frac{1}{2}\times 1\times 1=\frac{1}{2}$
$\frac{v_f^2}{2}-0=\frac{1}{2}$
$v_f=1\text{m/sec}$