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Question

Physics Question on Motion in a straight line

A man throws balls with same speed vertically upwards one after the other at an interval of 2s2 \,s. What should be the speed of throw so that more than two balls are in the sky at any time ?

A

Only with speed 19.6ms119.6 \,ms^{-1}

B

More than 19.6ms119.6\,ms^{-1}

C

At least 9.8ms19.8 \,ms^{-1}

D

Any speed less than 19.6ms119.6 \,ms^{-1}

Answer

More than 19.6ms119.6\,ms^{-1}

Explanation

Solution

Interval of ball thrown =2s= 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 4s4\, s. T>4sT > 4\,s 2ug>4s\Rightarrow \frac{2u}{g} > 4s u>19.6ms1\Rightarrow u > 19 .6 \,m\,s^{-1}