Question

The displacement of a moving particle is proportional to the square of time. Which of the following statements is true for the motion of particle ?

• A. The velocity is constant.
• B. The velocity is variable.
• C. The acceleration is zero.
• D. The acceleration is variable.

Answer 1

Answer: (B)

The velocity is variable.

let displacement $=s$ and time $=t$
According to the given condition $s=c\times t^2$ {Where c is a constant of proportionality}
Now,
$v=ds/dt=2ct$
$a=d^{2}s/d{t}^2=2c$
From above equations velocity is variable.