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Question

Two particles A & B are projected along different directions from the same point P on the ground with same speed of 70 m/s in the same vertical plane. They hit the ground at the same point Q such that PQ=480 m. Then :
(Use g=9.8 m/s2,sin10.96=74,sin10.6=37)

A
Ratio of their maximum hights is 9:25
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B
Ratio of their minimum speeds during flight is 4:3
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C
Ratio of their times of flights is 4:5
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D
The bisector of the angle between their directions of projection makes 37º with horizontal.
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Solution

The correct option is B Ratio of their minimum speeds during flight is 4:3
As we know, that range is given by R=u2sin2θg480=70×70sin2θ10
θ1=37
θ2=9037=53
(A) Ratio of time of flights T1T2=sinθ1sinθ2=sin37sin53=3/54/5=34
(B) Ratio of maximum heights H1H2=sin2θ1sin2θ2=(sin37)2(sin53)2=9/2516/25=916
(C) Ratio of minimum speed Vmin1Vmin2=cosθ1cosθ2=cos37cos53=43

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