$P$ is a point moving with constant speed $10 m / s$ such that its velocity vector always maintains an angle $60^{o}$ with line $O P$ as shown in figure ( $O$ is a fixed point in space). The initial distance between $O$ and $P$ is $100 m$ . After what time shall $P$ reach $O$ .

10 s

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15 s

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20 s

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20 \sqrt{3} s

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Solution

The correct option is B $20 s$
Velocity vector component along OP is given as $10 cos 60^{\circ} = 5 m / s$
Thus 100 meters along this direction will be covered in $\frac{100}{5} = 20$ seconds.

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P is a point moving with constant speed 10 m/s such that its velocity vector always maintains an angle 60o 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 shall P reach O.

The correct option is B 20 sVelocity vector component along OP is given as 10cos60∘=5m/sThus 100 meters along this direction will be covered in 1005=20 seconds.

$P$ is a point moving with constant speed $10 m / s$ such that its velocity vector always maintains an angle $60^{o}$ with line $O P$ as shown in figure ( $O$ is a fixed point in space). The initial distance between $O$ and $P$ is $100 m$ . After what time shall $P$ reach $O$ .

The correct option is B $20 s$
Velocity vector component along OP is given as $10 cos 60^{\circ} = 5 m / s$
Thus 100 meters along this direction will be covered in $\frac{100}{5} = 20$ seconds.