Question

The acceleration of a particle traveling along a straight line is shown in the figure. The maximum speed of the particle is

• A. $20 \,ms ^{-1}$
• B. $30 \,ms ^{-1}$
• C. $40 \,ms ^{-1}$
• D. $60 \,ms ^{-1}$

Answer 1

Answer: (B)

Maximum speed is at $t=8 \,\sec$

$v$ at $t=8 \,\sec$ is given by are under curve $O A B C$.
Max. speed $=\frac{1}{2}(A B+O C) \times B C $
$=\frac{1}{2} \times(12) \times 5=30 \,ms ^{-1}$