A small object slides down with initial velocity equal to zero from the top of a smooth hill of height H . The other end of the hill is horizontal and is at height H 2 as shown in the figure. The horizontal distance covered by the object from the end of the hill to the ground is

Question

A small object slides down with initial velocity equal to zero from the top of a smooth hill of height H . The other end of the hill is horizontal and is at height H 2 as shown in the figure. The horizontal distance covered by the object from the end of the hill to the ground is, 2 H, H, H 2, 3 H 2

MARKS App · Accepted Answer

Since the platform is smooth, the speed of the object when it comes down by h = H 2 will be, v = 2 g h = 2 g H 2 = g H The time taken to fall the height h = H 2 t = 2 h g = H g Horizontal displacement in this time will be, x = v t = g H × H g = H

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