Question

On seeing enemy ships at a distance of 125 m from the shore, the canons start firing fireballs. The captain of the ship saw the cannon fire. He knows the velocity of the fireballs is 50 m/s. Now in how much time does he have to steer his ship in some other direction so as to save his crew. Use angle of projection as 30∘. Also find the maximum height that the fireball reaches above water.

A

T = 5s, H = 31.25 m

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B

T = 5s, H = 45.6 m

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C

T = 11s, H = 31.25 m

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D

T = 10s, H = 45.1 m

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Solution

The correct option is A T=5 s,H=31.25 m u=50 m/s, θ=30∘ ∴Time of flight, T=2usinθg T=2×50×sin30∘10 T=2×50×12×110 T=5 s Maximum Height H=u2sin2θ2g H=(50)2sin230∘2(10) H=2500×14×120 H=25004×20=31.25 m Hence, option (A) is the right choice.

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