First slide
Projection Under uniform Acceleration
Question

A particle (1) is projected with speed V from a point O making an angle of 30o with the vertical. At the same instant, a second particle (2) is thrown vertically upwards with velocity v from a point A. The two particles reach H, the highest point on the parabolic path of particle (1) simultaneously. The ratio of V/v is

Moderate
Solution

Time taken by particle 1 to reach H is given by

t=Vsin60g=3V2g

Time taken by particle 2 reach H is given by

t=vg

Now    3V2g=vg  or  Vv=23

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