Kinematics Question 209

Question: A body dropped from a height $ h $ with an initial speed zero, strikes the ground with a velocity $ 3km/h $ . Another body of same mass is dropped from the same height $ h $ with an initial speed $ -{u}’=4km/h $ . Find the final velocity of second body with which it strikes the ground [CBSE PMT 1996]

Options:

A) 3 km/h

B) 4 km/h

C) 5 km/h

D) 12 km/h

Show Answer

Answer:

Correct Answer: C

Solution:

For first case $ v^{2}-0^{2}=2gh $

therefore $ {{(3)}^{2}}=2gh $ For second case $ v^{2}={{(-u)}^{2}}+2gh $

$ =4^{2}+3^{2} $
$ \therefore $ $ v= $ 5km/h



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