A person throws a pumpkin at a horizontal speed of 4.0\,\dfrac{\text m}{\text s}4.0 s m 4, point, 0, start fraction, start text, m, end text, divided by, start text, s, end text, end fraction off a cliff. The pumpkin travels 9.5\,\text m9.5m9, point, 5, start text, m, end text horizontally before it hits the ground. We can ignore air resistance.

d = 27.522 m

Explanation:

The horizontal speed of a pumpkin,

The horizontal distance covered by the pumpkin,

We can assume to find the the pumpkin's vertical displacement during the throw.

Firstly we can find the time of flight for the pumpkin. It can be calculated as follows :

The vertical displacement during the throw is given by :

Here,

So,

So, the vertical displacement of the pumpkin is 27.522 m.

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