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Q. A man throws balls with same speed vertically upwards one after the other at an interval of $2 \,s$. What should be the speed of throw so that more than two balls are in the sky at any time ?

UP CPMTUP CPMT 2014

Solution:

Interval of ball thrown $= 2 \,s$ If we want that minimum three (more than two) balls remain in air then time of flight of first ball must be greater than $4\, s$.
$T > 4\,s $
$\Rightarrow \frac{2u}{g} > 4s$
$\Rightarrow u > 19 .6 \,m\,s^{-1}$