Position time graph of a particle moving along straight line is s… - Vidyadip

MCQ

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
✓
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

Correct option: B.

Velocity of particle is opposite to acceleration between $t=2$ to $t=5 \,s$

b
(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.

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