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Question: Four bodies A, B, C and D are projected with equal velocities having angles of projection \(15^{o},3...

Four bodies A, B, C and D are projected with equal velocities having angles of projection 15o,30o,45o15^{o},30^{o},45^{o}and 60o60^{o}with the horizontal respectively. The body having the shortest range is

A

A

B

B

C

C

D

D

Answer

A

Explanation

Solution

Range, R=u2sin2θgR = \frac{u^{2}\sin 2\theta}{g}

For a given initial velocity

Rsin2θR \propto \sin 2\theta