Q146 / 180 · KCET 2021 · Physics

A particle starts from rest. Its acceleration $a$ versus time $t$ is shown in the figure. The maximum speed of the particle will be

A
$80 \mathrm{~ms}^{-1}$
Correct answer
B
$40 \mathrm{~ms}^{-1}$
C
$18 \mathrm{~ms}^{-1}$
D
$2 \mathrm{~ms}^{-1}$

Solution

As, we know Area under $a-t$ graph $=v-u$ $\begin{array}{ll} \Rightarrow & \frac{1}{2} \times 8 \times 10=v (\because u=0)\\ \Rightarrow & v=40 \mathrm{~ms}^{-1} \end{array}$

Hence, the correct answer is option: 'B'.

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