A ball moving horizontally 3 m/s rolls off the top of flight of stairs. If each stair is 0.5 m high and 0.5 m wide, which stair will the ball hit?

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A ball moving horizontally 3 m/s rolls off the top of flight of stairs. If each stair is 0.5 m high and 0.5 m wide, which stair will the ball hit?

Physics
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it will hit the 4th stair. I solved it by trial and hit method.
.... -_- that's the same way the book tells me, but is there a specific mathematical/physics method to solve it?

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