Applications Of Derivatives Question 371

Question: A stone is falling freely and describes a distance s in t seconds given by equation $ s=\frac{1}{2}g,t^{2} $ . The acceleration of the stone is

Options:

A) Uniform

B) Zero

C) Non-uniform

D) Indeterminate

Show Answer

Answer:

Correct Answer: A

Solution:

Given $ s=\frac{1}{2}gt^{2} $

therefore $ \frac{ds}{dt}=gt $ ; Again $ \frac{d^{2}s}{dt^{2}}=g $

Hence the acceleration of the stone is uniform.