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Question

Two projectiles A and B are thrown from the same point with velocities v and v2 respectively. If B is thrown at an angle 45 with horizontal, what is the inclination of A when their ranges are the same?

A
sin1(14)
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B
12sin1(14)
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C
2sin1(14)
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D
12sin1(18)
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Solution

The correct option is B 12sin1(14)
RA=RB
R=u2sin2θg
RA=u2sin2θg
RB=(v/2)2sin(2×45o)g
RA=RB
v2sin2θg=v24sin90og
sin2θ=14
2θ=sin1(14)
θ=12sin1(14)

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