Applications Of Derivatives Question 209

Question: The equation of motion of a stone, thrown vertically upwards is $ s=ut-6.3t^{2}, $ where the units of s and t are cm and sec. If the stone reaches at maximum height in 3 sec, then u =

Options:

A) $ 18.9cm/\sec $

B) $ 12.6cm/\sec $

C) $ 37.8cm/\sec $

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

Velocity of particle at the maximum height $ \frac{ds}{dt}=0 $

$ \Rightarrow u-12.6t=0\Rightarrow u=12.6t=37.8,cm/s. $