Home Physics Motion in a Straight Line Position, Path Length and Displacement Two canons installed at the top of a cliff 1…
Physics Motion in a Straight Line Position, Path Length and Displacement MCQ (Single Correct)

Two canons installed at the top of a cliff 10 m high fire a shot each with speed 5 √ √ 3 ms -1 at some interval. One canon fires at 60° with horizontal whereas the second fires horizontally. The coordinates of point of collision of shots are

A
3 √ √ 5, 3m
B
1/5 √ √ 3 m, 1/5 m
C
1/3 m, 1/3 √ √ 5 m
D
5 √ √ 3m, 5m

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Text Solution

Verified by Experts
The correct answer is:
D

Let t 1 and t 2 be the times of shot from cannot at 60 o and the slot from horizontal cannot to reach the point of collision.

∴ ∴ x = (5 √ √ 3 cos 60)t 1 = 5 √ √ 3 t 2

and y = 10 + 5 √ √ 3 sin 60t 1 – 1/2 gt 1 2

= 10 – 1/2 gt 2 2

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