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In the question number 1, the angle phi ...

In the question number 1, the angle `phi` which the velocity vector of stone makes with horizontal just before hitting the ground is given by

A

`tan phi = 2 tan theta`

B

`tan phi = 2 cot theta`

C

`tan phi = sqrt(2) tan theta`

D

`tan phi = sqrt(2) cot theta`

Text Solution

Verified by Experts

The correct Answer is:
C
Let `u_(y)andv_(y)` be initial and final vertical components of velocity respectively.
`:.u_(y)^(2)=2gHandv_(y)^(2)=4gH:.v_(y)=sqrt2u_(y)`
Final velocity makes angle `(phi)`with horizontal.
`:.tanphi=(v_(y))/(u_(x))=sqrt(2)(u_(y))/(u_(x))=sqrt(2)tantheta`
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