Question

1. a drop of water goes over a 250 m waterfall at a speed of 6.7 m/s. how far does the drop of water travel away from the base of the falls?

23.89 m
47.77 m
25.5 m
95.54 m

Explanation:

Step1: Calculate the time of fall

Use the formula \(h = \frac{1}{2}gt^{2}\) (where \(h = 250m\), \(g=9.8m/s^{2}\)).

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Step2: Calculate the horizontal distance

The horizontal speed \(v_{x}=6.7m/s\), and the horizontal distance \(x = v_{x}t\).
Substitute \(v_{x}=6.7m/s\) and \(t = 7.14s\) into the formula: \(x=6.7\times7.14 = 47.84m\approx47.77m\)

Answer:

47.77 m