Applications Of Derivatives Question 375

Question: The motion of stone thrown up vertically is given by $ s=13.8t-4.9t^{2} $ , where s is in metre and t is in seconds. Then its velocity at $ t=1 $ second is

Options:

A) 3 m/s

B) 5 m/s

C) 4 m/s

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

$ s=13.8t-4.9t^{2} $

Its velocity $ v=\frac{ds}{dt}=13.8-9.8t $

Hence $ {{( \frac{ds}{dt} )} _{t=1}}=13.8-9.8\times 1=4.0=4m/\sec . $