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Question

Three projectile A,B and C are thrown simultaneously from the same point in the same vertical plane. Their trajectories are shown in the figure. Then which of the following statement is false?
286359_baca8f774cce475295dfa02f13748777.png

A
The time of flight is the same for the three
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B
The launch speed is greatest for particle C
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C
The vertical velocity component for particle C is greater than that for the other particles
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D
Y-coordinate of all particle is always same
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Solution

The correct option is B The vertical velocity component for particle C is greater than that for the other particles
Let u and θ represent the projectile velocity and angle of projection with horizontal respectively.
Maximum height attained H=u2sin2θ2g=u2y2g uy=2gH
HA=HB=HC uyA=uyB=uyC
Thus the vertical component of the velocity of the particles is same.
Hence option C is the right answer.

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