Question

A body initially at rest, starts moving along x-axis in such a way so that its acceleration vs displacement plot is as shown in figure. The maximum velocity of particle is

• A. $1m/s$
• B. $6m/s$
• C. $2m/s$
• D. None of the above

Answer 1

The correct option is A $1m/s$

Area of a-x graph $=\int adx=\int \left(v\frac{dv}{dx}\right)dx=\int vdv\Rightarrow {\int }_0^{v_m}v=\frac{1}{2}\times 1\times 1\Rightarrow \frac{v_m^2}{2}=\frac{1}{2}\Rightarrow v_m=1m/s$