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A stone is projected at an angle $30^{0}$ with the horizontal with a velocity 20 m/s from the top of a building 15 m high . The velocity with which it will hit the ground is

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107 m/s

207 m/s

103 m/s

50 m/s

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detailed solution

Correct option is A

horizontal component of the velocity of the stone remains constant 20 cosθ=103m/s but initial vertical component of velocity is 20sin 300=10m/s and final vertical velocity will be vy=uy2+2gy =102+21015=20m/s resultant velocity 1032+202=700=107 m/s

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A stone is projected at an angle 300 with the horizontal with a velocity 20 m/s from the top of a building 15 m high . The velocity with which it will hit the ground is

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A stone is projected at an angle $30^{0}$ with the horizontal with a velocity 20 m/s from the top of a building 15 m high . The velocity with which it will hit the ground is