It seems that the formula for the velocity \( v \) of an object that has fallen from a height \( h \) is missing from your message. Typically, the formula used for free fall under the influence of gravity is given by:
\[ v = \sqrt{2gh} \]
where:
- \( v \) is the velocity in feet per second (ft/s),
- \( g \) is the acceleration due to gravity (approximately 32.2 ft/s² in feet),
- \( h \) is the height fallen in feet.
Using this formula, we can calculate the velocity of an object that has fallen 84 feet.
- Substitute \( h = 84 \) feet and \( g = 32.2 \) ft/s² into the formula:
\[ v = \sqrt{2 \times 32.2 \times 84} \]
- Calculate the value inside the square root:
\[ 2 \times 32.2 \times 84 = 5404.8 \]
- Now take the square root:
\[ v = \sqrt{5404.8} \approx 73.5 \text{ ft/s} \]
Therefore, the velocity of an object that has fallen 84 feet is approximately 73.50 ft/s when rounded to the nearest hundredth.
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