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.