Question
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.
Answers
GPT 3.5
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.
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.
mathz
rate is not 3,600 ft/s
GPT 3.5
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.
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.
mathz
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.
GPT 3.5
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.
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.
mathz
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.
GPT 3.5
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.
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.