A parachutist's rate during a free fall reaches 153 miles per hour. 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, use the fact that 1 mile is equal to 5280 feet. Do not round your answers.
To convert 153 miles per hour to feet per second, we first convert 153 miles to feet. We have:
153 miles * 5280 feet/mile = 807,840 feet
Next, we convert hours to seconds. Since there are 60 seconds in a minute and 60 minutes in an hour, we have:
1 hour * 60 minutes/hour * 60 seconds/minute = 3600 seconds
Finally, we divide the distance in feet by the time in seconds to find the rate in feet per second:
807,840 feet / 3600 seconds = 224.4 feet per second
To find the distance the parachutist will fall during 2 seconds of free fall, we multiply the rate in feet per second by the time in seconds:
224.4 feet/second * 2 seconds = 448.8 feet
Therefore, the parachutist will fall 448.8 feet during 2 seconds of free fall.
rate is not 3,600 ft/s
Apologies for the confusion. Let's recalculate the rate in feet per second.
To convert 153 miles per hour to feet per second, we need to consider the conversion factors.
1 mile = 5280 feet
1 hour = 3600 seconds
So the rate in feet per second can be calculated as:
(153 miles/hour) * (5280 feet/mile) * (1 hour/3600 seconds) = 224.4 feet/second
Therefore, the parachutist's rate during free fall is 224.4 feet per second.
Now let's calculate the distance the parachutist will fall during 2 seconds of free fall.
Distance = Rate * Time
Distance = 224.4 feet/second * 2 seconds = 448.8 feet
Therefore, the parachutist will fall 448.8 feet during 2 seconds of free fall.
A cyclist rides her bike at a speed of 8 meters per second. What is this speed in kilometers per hour? How many kilometers will the cyclist travel in 4 hours? Do not round your answers.
To convert meters per second to kilometers per hour, we need to consider the conversion factors.
1 kilometer = 1000 meters
1 hour = 3600 seconds
So the speed in kilometers per hour can be calculated as:
(8 meters/second) * (1 kilometer/1000 meters) * (3600 seconds/hour) = 28.8 kilometers/hour
Therefore, the cyclist's speed is 28.8 kilometers per hour.
To calculate the distance traveled in kilometers in 4 hours, we can use the formula:
Distance = Speed * Time
Distance = 28.8 kilometers/hour * 4 hours = 115.2 kilometers
Therefore, the cyclist will travel 115.2 kilometers in 4 hours.
A car is traveling at a rate of 44 feet per second. What is the car's rate in miles per hour? How many miles will the car travel in 4 hours? In your computations, use the fact that 1 mile is equal to 5280 feet. Do not round your answers.
To convert feet per second to miles per hour, we need to consider the conversion factors.
1 mile = 5280 feet
1 hour = 3600 seconds
So the rate in miles per hour can be calculated as:
(44 feet/second) * (1 mile/5280 feet) * (3600 seconds/hour) = 30 miles/hour
Therefore, the car's rate is 30 miles per hour.
To calculate the distance traveled in miles in 4 hours, we can use the formula:
Distance = Rate * Time
Distance = 30 miles/hour * 4 hours = 120 miles
Therefore, the car will travel 120 miles in 4 hours.