A ball is dropped from a rooftop a height h above the ground. If air resistance is ignored how long does it take to hit the ground?

Expert Answers

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We can use equations of motion here.

`S = ut + (1/2) at^2`

`s = h`

`u = 0`

`t = ?`

`a = g`

`h = (1/2)*g(t)^2`

`t = sqrt((2h)/g)` since `t>0`

So the ball will be dropped to ground after `sqrt((2h)/g) ` time.

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