Applications Of Derivatives Question 368

Question: A ball thrown vertically upwards falls back on the ground after 6 second. Assuming that the equation of motion is of the form $ s=ut-4.9t^{2} $ , where s is in metre and t is in second, find the velocity at $ t=0 $

Options:

A) $ 0,m/s $

B) 1 m/s

C) 29.4 m/s

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

Velocity of ball (v) = $ \frac{ds}{dt}= $

$ u-9.8t $

Here terminal velocity $ v=0 $ and $ t=3,sec $

$ u=9.8(3)=29.4m/sec $ .



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