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A projectile is fired from the top of a 40 m high cliff with an initial speed of 50 m/s at an unknown angle. Find its speed when it hits the ground.

A projectile is fired from the top of a 40 m high cliff with an initial speed of 50 m/s at an unknown angle. Find its speed when it hits the ground.

Grade:11

1 Answers

Navjyot Kalra
askIITians Faculty 654 Points
9 years ago
Sol. h = 40m, u = 50 m/sec Let the speed be ‘v’ when it strikes the ground. Applying law of conservation of energy mgh + ½ mu2 = ½ mv2 ⇒ 10 × 40 + (1/2) × 2500 = ½ v^2 ⇒ v^2 = 3300 ⇒ v = 57.4 m/sec =58 m/sec

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