P is a point moving with constant speed 10 m/s such that its 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. After what time (in sec) shall P reach O.

Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION
(20)
Sol.

Velocity of approach of P and O is →
= v cos 60° = 5 m/s
It can be seen that velocity of approach is always constant.
∴ P reaches O after =
= 20 sec
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