Question

A body initially at rest starts moving in x-direction. Its acceleration a is plotted against x as shown in figure. Find the maximum velocity (in m/s) of the body?

• A. $2$
• B. $4$
• C. $6$
• D. $8$

Answer 1

The correct option is B $4$

We know area under acceleration and displacement gives us velocity and is mathematically expressed as v$=\sqrt{2Area}$-----(1)

Total area =Area of 1+ area of 2+area of 3

Area of 1 = Area of 3$=\frac{1}{2}\times 1\times 4=2$

Area of 2 =1$\times$4=4

Total area =2+2+4=8

From 1 velocity $=\sqrt{2\times 8}=4m/s$