Applications Of Derivatives Question 130

Question: A stone thrown vertically upwards rises -s- metre in t seconds, where $ s=80t-16t^{2} $ , then the velocity after 2 seconds is

[SCRA 1996]

Options:

A) 8 m per sec

B) 16 m per sec

C) 32 m per sec

D) 64 m per sec

Show Answer

Answer:

Correct Answer: B

Solution:

$ s=80-16t^{2} $ , $ \frac{ds}{dt}=v=80-32t $

$ {{(v)} _{t=2}}=80-64=16m/sec $ .