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.