Question

A body starts from rest at time $t=0$, the acceleration time graph is shown in figure. The maximum velocity attained by the body will be:

• A. $110m/s$
• B. $55m/s$
• C. $650m/s$
• D. $550m/s$

Answer 1

The correct option is B $55m/s$

We know that $acceleration=\Delta V/\Delta t$ so change in velocity $\Delta V=a\times \Delta t$, in other area under $a-t$ graph is change in velocity so $v-u=area=\frac{1}{2}\times 10\times 11=55m/s$

so final velocity $v=u+55$, putting initial velocity $u=0$ we get maximum velocity as $55m/s$.

Its maximum because acceleration is positive for the given interval so velocity is increasing through out the interval.