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Question

Physics Question on Motion in a plane

For a given angle of projection, if the time of flight of a projectile is doubled, the horizontal range will increase to:

A

four times

B

thrice

C

once

D

twice

Answer

four times

Explanation

Solution

The formula for time of flight and horizontal ray is given by as gT2=2Rtanαg T^{2}=2 R \tan \alpha RT2\Rightarrow R \propto T^{2} ...(1) From the relation (1), if TT is doubled then RR will be four times