Applications Of Derivatives Question 295
Question: A body moves according to the formula $ v=1+t^{2} $ , where v is the velocity at time t. The acceleration after 3 sec will be (v in cm/sec)
[MP PET 1988]
Options:
A) $ 24,cm/{{\sec }^{2}} $
B) $ 12,cm/{{\sec }^{2}} $
C) $ 6,cm/{{\sec }^{2}} $
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
Acceleration $ f=\frac{dv}{dt}=2t, $ then acceleration after 3 second
$ \therefore \frac{dA}{dt}=2\pi R\frac{dR}{dt}=1.2\pi cm^{2} $ .
BETA
