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A parachutist's rate during a free fall reaches 65 meters per second. What is this rate in feet per second? At this rate, how many feet will the parachutist fall during 10 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers.Rate: ftsDistance fallen in 10 seconds: ft

Question

A parachutist's rate during a free fall reaches 65 meters per second. What is this rate in feet per second? At this rate, how many feet will the parachutist fall during 10 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers.Rate: ftsDistance fallen in 10 seconds: ft

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Solution

To convert the parachutist's rate from meters per second to feet per second, we use the given conversion factor that 1 meter is equal to 3.3 feet.

  1. Convert the rate: 65 meters/second×3.3 feet/meter=214.5 feet/second 65 \text{ meters/second} \times 3.3 \text{ feet/meter} = 214.5 \text{ feet/second}

So, the rate is: 214.5 feet/second 214.5 \text{ feet/second}

  1. Calculate the distance fallen in 10 seconds: Distance=Rate×Time \text{Distance} = \text{Rate} \times \text{Time} Distance=214.5 feet/second×10 seconds=2145 feet \text{Distance} = 214.5 \text{ feet/second} \times 10 \text{ seconds} = 2145 \text{ feet}

So, the distance fallen in 10 seconds is: 2145 feet 2145 \text{ feet}

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