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A body is projected with the velocity u(...

A body is projected with the velocity `u_(1)` from the point A as shown in Figure. At the same time another body is projectd vertically upwards with the velocity `u_(2)` from the point B. What shold be the value of `(u_(1))/(u_(2))` for both the bodies to collide.

A

2

B

`1//2`

C

`sqrt(3//2)`

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
The two bodies will the highest point of both cover the same vertical height in the same time. So
`(v_(1)^(2)sin^(2)30^(@))/(2g)=(v_(2)^(2))/(2g)or(v_(2))/(v_(1))=sin30^(@)=(1)/(2)`
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