Question

a parachutists rate during a free - fall reaches 50 meters per second. what is this rate in feet per second? at this rate, how many feet does the parachutist fall during 2 seconds of free - fall? in your computations, assume that 1 meter is equal to 3.3 feet. do not round your answers.
rate: (\frac{\text{ft}}{\text{s}})
distance fallen in 2 seconds: (\text{ft})

Explanation:

Step1: Convert the rate from meters per second to feet per second

Given 1 meter = 3.3 feet and the rate is 50 meters per second. Multiply the rate in meters per - second by the conversion factor.
$50\times3.3$

Step2: Calculate the distance fallen in 2 seconds

The rate is the speed, and distance $d$ is given by the formula $d = vt$ (where $v$ is the speed and $t$ is the time). The speed $v$ is the rate in feet per second from Step 1, and $t = 2$ seconds.
$d=(50\times3.3)\times2$
$50\times3.3 = 165$ feet per second (rate in feet per second)
$(50\times3.3)\times2=165\times2 = 330$ feet (distance fallen in 2 seconds)

Answer:

Rate: 165 $\frac{ft}{s}$
Distance fallen in 2 seconds: 330 ft