A parachutist's rate during a free fall reaches 207 kilometers per hour. What is this rate in meters per second? At this rate, how many meters will the parachutist fall during 15 seconds of free fall? Do not round your answers. Rate: Distance fallen in 15 seconds:

To convert the rate from kilometers per hour to meters per second, we can use the following conversion factors: 1 kilometer = 1000 meters 1 hour = 3600 seconds Given rate = 207 kilometers per hour To convert to meters per second: \[ \text{Rate in meters per second} = \frac{207 \text{ km/h}}{3600 \text{ s/h}} \times 1000 \text{ m/km} \] Now, let's calculate the rate in meters per second. \[ \text{Rate in meters per second} = \frac{207 \times 1000}{3600} \] Next, to find the distance fallen in 15 seconds, we can use the formula: \[ \text{Distance} = \text{Rate} \times \text{Time} \] Given time = 15 seconds \[ \text{Distance} = \text{Rate in meters per second} \times 15 \text{ seconds} \] Let's calculate the distance fallen in 15 seconds. Calculate the value by following steps: - step0: Calculate: \(\frac{207\times 1000}{3600}\) - step1: Multiply the numbers: \(\frac{207000}{3600}\) - step2: Reduce the fraction: \(\frac{115}{2}\) The rate in meters per second is \(57.5\) meters per second. Now, let's calculate the distance fallen in 15 seconds: \[ \text{Distance} = 57.5 \text{ m/s} \times 15 \text{ s} \] \[ \text{Distance} = 57.5 \times 15 \] \[ \text{Distance} = 862.5 \text{ meters} \] Therefore, the parachutist will fall 862.5 meters during 15 seconds of free fall.