Questions: A parachutist's rate during a free fall reaches 80 meters per second. What is this rate in feet per second? At this rate, how many feet will the parachutist fall during 15 seconds of free fall? In your computations, assume that 1 meter is equal to 3.3 feet. Do not round your answers. Rate: ft/s Distance fallen in 15 seconds: ft

Solution Steps

To convert the rate from meters per second (m/s) to feet per second (ft/s), we use the conversion factor \(1 \text{ meter} = 3.3 \text{ feet}\).

Given: \[ 80 \text{ m/s} \]

Conversion: \[ 80 \text{ m/s} \times 3.3 \text{ ft/m} = 264 \text{ ft/s} \]

To find the distance fallen in 15 seconds, we multiply the rate in feet per second by the time in seconds.

Given: \[ \text{Rate} = 264 \text{ ft/s} \] \[ \text{Time} = 15 \text{ s} \]

Calculation: \[ \text{Distance} = 264 \text{ ft/s} \times 15 \text{ s} = 3960 \text{ ft} \]

Final Answer