Applications Of Derivatives Question 370
Question: A point moves in a straight line during the time $ t=0 $ to $ t=3 $ according to the law $ s=15t-2t^{2} $ . The average velocity is
[MP PET 1992]
Options:
A) 3
B) 9
C) 15
D) 27
Show Answer
Answer:
Correct Answer: B
Solution:
Motion of a particle $ s=15t-2t^{2} $
Therefore, velocity $ \frac{ds}{dt}=15-4t $
therefore $ {{( \frac{ds}{dt} )} _{t=0}}=15 $ and $ {{( \frac{ds}{dt} )} _{t=3}}=3 $
Therefore, average $ =\frac{15+3}{2}=9 $ .
BETA
