Question

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

• A. $110\text{m/s}$
• B. $55\text{m/s}$
• C. $550\text{m/s}$
• D. $660\text{m/s}$

Answer 1

The correct option is B $55\text{m/s}$


The area under acceleration time graph gives change in velocity. As acceleration is zero at the end of $11\text{s}$
$i.e.v_{max}=Areaof\Delta OAB$
$=\frac{1}{2}\times 11\times 10=55m/s$