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Thre stones A, B and C are simultaneousl...

Thre stones A, B and C are simultaneously projected from same point with same speed. A is thrown upwards, B is thrown horizontally and C is thrown downwards from a boulding. When the distance between stone A and C becomes 10 m, then distance between A and B will be-

A

10 m

B

5 m

C

`5sqrt2m`

D

`10sqrt2m`

Text Solution

Verified by Experts

The correct Answer is:
C
Let the stones be projected at `t=0` sec with a speed u from point O. Then an obeserver, at rest at `t=0` and having constantacceleration equal to aceeleration due to gravity shall observe the three stones move with constant velocity as shown. In the given time each ball shall travell a distance 5 metre as seen by this observer. Hence the required distance between A and B will be
`=sqrt(5^2+5^2)=5sqrt2` metre.
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