A ball rolls off the top of a stairway with horizontal velocity 𝑣0𝑚𝑠 −1. If the steps are ℎ meter high and 𝑤 meter wide, the ball will hit the edge of 𝑛 th step if

Question: A ball rolls off the top of a stairway with horizontal velocity 𝑣0𝑚𝑠 −1. If the steps are ℎ meter high and 𝑤 meter wide, the ball will hit the edge of 𝑛 th step if

(A) n=\dfrac{2hV_{0}}{gw^{2}}

(B) n=\dfrac{2hv_{0}^{2}}{gw }

(C) n=\dfrac{hv_{0}^{2}}{gw^{2}}

(D) n=\dfrac{2hv_{0}^{2}}{gw^{2} }

Answer: option (D)

Solution:

A ball rolls off the top of a stairway with horizontal velocity 𝑣0𝑚𝑠 −1. If the steps are ℎ meter high and 𝑤 meter wide, the ball will hit the edge of 𝑛 th step if

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