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 $ .