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P is a point moving with constant speed `10 m//s` such that is velocity vector always maintains an angle `60^(@)` with line OP as shown in figure (O is a fixed point in space). The initial distance between O and P is 100 m.

A

`10 sec`

B

`15 sec`

C

`20 sec`

D

`20sqrt(3) sec`

Text Solution

Verified by Experts

The correct Answer is:
C
Velocity of approach of P and O is
`-(dx)/(dt) =v cos 60^(@) =5 m//s`
It can be seen that velocity of approach is always constant.
`:.` P reaches O after =`100/5` =20 sec.
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