Question's below

Question

In a straight line motion, the distance travelled is proportional to the square root of the time taken. The acceleration of the particle is proportional to:-

A. velocity    B. v²    C. v³    D. v^1/2 

Answer 1

We know that 

distance x ∝ t^½, 

velocity v = dx/dt ∝ ½ t^−½,

acceleration a = dv/dt ∝ ½ (−½) t^−3/2,

Therefore a ∝ v³.

Hence, the correct answer is (C)

Comments

Thanks, it was very useful