KinematicsHard

Question

A particle a is projected with speed with speed vA from a point making an angle 60o with the horizontal. At the same instant, a second particle B is thrown vertically upward from a point directly below the maximum height point of parabolic path of A with velocity vB. If the two particles collide then the ratio of vA / vB should be : -

Options

A.1
B.
C.
D.√3

Solution


At maximum height vertical component of velocity becomes zero.
v2 = u2 + 2as
For A :         0 = vA2 sin2 60o - 2gh
                    2gh = vA2 sin2 60o  = vA2 (3/4)
                    VA =
For B :         0 = VB2 2gh
                    vB = ;

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