A body is projectd with the velcity ` (U_1)` from the point (A) as shown in Fig. 2. (d). 37. At the same tiem another body uis projected vertcally upwards with the velcoity ` u_2` from the point (B) .What should be the value of ` u_1)//u_1` for both the bodies to collide ?
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Explanation

The two bodies will collide, if they reach at a point covering the same vertical distaance in the same time. Therefore
` y=u_1 sin 60^2 xx t -1/2 t^@ =u_2 t - 1/2 g t^2`
or ` u_1 sin 60^@ xx t = ut_2 t`
or ` u_1/u_2 1/(sin 60^2) = 2/(sqrt3)`.