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Q.

A body is projected with a velocity v1  from the point A as shown in the figure. At the same time, another body is projected vertically upwards from B with velocity  v2. The point B lies vertically below the highest point. For both the bodies to collide, v2v1  should be 1x  then x = __________.
                               
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answer is 2.

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Detailed Solution

The two bodies will collide at the highest point if both cover the same vertical height in the same time. So,  v12sin230°2g=v222g
Or    v2v1=sin30°=12=0.5              
 

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