A parachutist's rate during a free fall reaches 70 meters per second. What is this rate in feet per second? At this rate, how many feet will 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.
To convert meters per second to feet per second, we multiply by the conversion factor 3.3 feet/meter:
70 meters/second * 3.3 feet/meter = <<70*3.3=231>>231 feet/second.
During 2 seconds of free fall, the parachutist will fall:
231 feet/second * 2 seconds = <<231*2=462>>462 feet. Answer: \boxed{462}.
A car is traveling at a speed of 108 kilometers per hour. What is the car's speed in kilometers per minute? How many kilometers will the car travel in 20 minutes? Do not round your answers.
To convert kilometers per hour to kilometers per minute, we divide by 60 (since there are 60 minutes in an hour):
108 kilometers per hour / 60 minutes per hour = 1.8 kilometers per minute.
The car will travel:
1.8 kilometers per minute * 20 minutes = 36 kilometers.
Answer: \boxed{1.8} kilometers per minute and \boxed{36} kilometers.
A cyclist rides her bike at a speed of 20 kilometers per hour. What is this speed in miles per hour? How many miles will the cyclist travel in 3 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.
To convert kilometers per hour to miles per hour, we need to divide by the conversion factor 1.6 kilometers/mile:
20 kilometers per hour / 1.6 kilometers per mile = 12.5 miles per hour.
The cyclist will travel:
12.5 miles per hour * 3 hours = 37.5 miles.
Answer: The speed is \boxed{12.5} miles per hour and the distance traveled is \boxed{37.5} miles.