A parachutist's rate during a free fall reaches 90 miles per hour. 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, use the fact that I mile is equal to 5280 feet. Do not round your answers. Rate: Distance fallen in 15 seconds:
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To convert the parachutist's rate of 90 miles per hour to feet per second, you can use the conversion factors. Since 1 mile equals 5280 feet and 1 hour equals 3600 seconds, you can calculate it like this: \[ 90 \text{ miles/hour} \times \frac{5280 \text{ feet}}{1 \text{ mile}} \times \frac{1 \text{ hour}}{3600 \text{ seconds}} = 132 \text{ feet/second}. \] So, the rate is 132 feet per second. For the distance the parachutist would fall in 15 seconds, you can use the formula: \[ \text{Distance} = \text{Rate} \times \text{Time} = 132 \text{ feet/second} \times 15 \text{ seconds} = 1980 \text{ feet}. \] Therefore, during 15 seconds of free fall, the parachutist will fall 1980 feet.
