A particle is projected from the top of a 20 m high tower with a fixed speed of 10 m/s. Neglect air resistance and take g = 10 m/s². The maximum possible horizontal distance from the foot of the tower at which the particle can strike the ground is:
Options

Question

A particle is projected from the top of a 20 m high tower with a fixed speed of 10 m/s. Neglect air resistance and take g = 10 m/s². The maximum possible horizontal distance from the foot of the tower at which the particle can strike the ground is:

Options

G1 Physics · Accepted Answer

For projection with fixed speed u from height h, the maximum horizontal range is Rₘₐₓ = (u/g)√(u² + 2gh). Here u = 10 m/s, h = 20 m and g = 10 m/s². Thus Rₘₐₓ = (10/10)√(100 + 400) = √500 = 10√5 m. Therefore option A is correct.