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A particle is thrown at time t = 0 with ...

A particle is thrown at time t = 0 with a velocity of `10 ms^(-1)` at an angle `60^@` with the horizontal from a point on an inclined plane, making an angle of `30^@` with the horizontal. The time when the velocity of the projectile becomes parallel to the incline is

A

`2/sqrt3`

B

`1/sqrt3`

C

`sqrt3`

D

`1/(2sqrt3)`

Text Solution

Verified by Experts

The correct Answer is:
B

Taking x-axis along the inlcice and y-axis perpendicular to incline `u_(y)=10 sin (30^(@)), a_(y)=g cos (30^(@))`
When velocity becomes parallel to the inclined plane `v_(y)=0 rArr 10sin(30^(@))-g cos (30^(@))t=0 rArr t=1/sqrt3`
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