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Q.

A projectile has a time of flight T and range R. If the time of flight is doubled, keeping the angle of projection same, what happens to the range?

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a

 R/4 

b

R/2 

c

 2R  

d

4R

answer is D.

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Detailed Solution

RT2=u2sin2θ/g4u2sin2θ/g2=g2cotθ  i.e., gT2=2Rtanθ If T is doubled, then R becomes 4 times.

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A projectile has a time of flight T and range R. If the time of flight is doubled, keeping the angle of projection same, what happens to the range?