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Question

An African swallow carrying a very small coconut is flying horizontally with a speed of 18 m/s. (a) If it drops the coconut from a height of 100 m above the Earth, how long will it take before the coconut strikes the ground? (b) At what horizontal distance from the release point will the coconut strike the ground?

Solution

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1 of 3(a)

$\begin{gather*} \Delta y=v_{yi}t+0.5a_yt^2\\\\ 100 = 0+ 0.5 \times 9.8 \times t^2\\\\ t^2 = \dfrac{100}{4.9}\\\\ t = 4.5\text{ s} \end{gather*}$

$\begin{align*} {\color{#19804f}{\boxed{t=4.5\text{ s}}}}\tag{1} \end{align*}$

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