Asked by mathz

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.
Answered by mathz
rate is not 3,600 ft/s
Answered by 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.
Answered by 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.
Answered by 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.
Answered by 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.
Answered by 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.
Answered by 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.