Question

Position time graph of a particle moving along straight line is shown which is in the form of semicircle starting from $t=2$ to $t=8\, s$. Select correct statement

• A. Velocity of particle between $t=0$ to $t=2\, s$ is positive
• B. Velocity of particle is opposite to acceleration between $t=2$ to $t=5\, s$.
• C. Velocity of particle is opposite to acceleration between $t=5$ to $t=8\, s$
• D. Acceleration of particle is positive between $t_{1}=2 s$ to $t_{2}=5\, s$ while it is negative between $t_{1}=5 s$ to $t_{2}=8\, s$

Answer 1

Answer: (B)

(i) From 0 to $2\, s$ the velocity $=0$ as displacement is zero.
(ii) From 2 to $5\, s$ velocity is decreasing but nature is positive, but acceleration is negative.
So, $v$ and $a$ have opposite nature.