Applications Of Derivatives Question 160

Question: The distance s metre covered by a body in t seconds is given by $ s=3t^{2}-8t+5, $ the body will stop after

[RPET 2000]

Options:

A) 1 sec

B) 3/4 sec

C) 4/3 sec

D) 4 sec

Show Answer

Answer:

Correct Answer: C

Solution:

The distance $ s=3t^{2}-8t+5 $ and velocity $ v=\frac{ds}{dt}=6t-8 $ The body will be stopped when $ v=0 $

therefore $ 6t-8=0 $

therefore $ t=4/3 $ .