Applications Of Derivatives Question 184

Question: If a particle moves such that the displacement is proportional to the square of the velocity acquired, then its acceleration is

[Kerala (Engg.) 2005]

Options:

A) Proportion to $ s^{2} $

B) Proportional to $ 1/s^{2} $

C) Proportional to s

D) Proportional to $ 1/s $

E) A constant

Show Answer

Answer:

Correct Answer: E

Solution:

If displacement $ \propto $ (velocity)2 $ s\propto v^{2} $

$ \Rightarrow v^{2}=2as $ .

Hence a is constant.