A cyclist rides his bike at a speed of 27 miles per hour. What is this speed in feet per second? How many feet will the cyclist travel in 15 seconds? In your computations, use the fact that 1 mile is equal to 5280 feet. Do not round your answers.
/ means divide
* means multiply
27mi/hr * 5280ft/mi * 1hr/3600s = ? ft/s
Im. Sorry but I still don't get it?
No. Im not understanding what to do with the 3 numbers or how u got them.?
you have mi/hr
You want ft/s
1 hour = 3600 seconds
1 mile = 5280 feet
So,
1mi/hr = 5280 ft/hr
= 5280ft/3600s = 5280/3600 ft/s
your speed is 27 mi/hr, so that is
27*5280/3600 = 29.6 ft/s
You can always multiply by 1 without changing anything. Since
1 mi = 5280 ft, that means that
5280ft/1mi = 1
You line up the ratios so that the units cancel, just like factors of a number.
3*2/2*7 = 2/7
the 2's cancel
27mi/hr * 5280ft/mi = 27*5280 ft/hr
the "mi" units (factors) cancel
To calculate the speed of the cyclist in feet per second, we need to convert the speed from miles per hour to feet per second.
To convert miles per hour to feet per second, we need to multiply the speed by the conversion factor.
1 mile = 5280 feet
1 hour = 60 minutes = 60 seconds
Since we need to convert from miles per hour to feet per second, we need to use both conversion factors:
Speed (in feet per second) = Speed (in miles per hour) x (5280 feet/1 mile) x (1 hour/3600 seconds)
Given that the speed of the cyclist is 27 miles per hour, we can substitute this into the formula:
Speed (in feet per second) = 27 miles/hour x (5280 feet/1 mile) x (1 hour/3600 seconds)
Now we can solve for the speed in feet per second:
Speed (in feet per second) = (27 x 5280 x 1) / (1 x 3600)
Speed (in feet per second) = 142560 / 3600
Speed (in feet per second) ≈ 39.6 feet per second (rounded to one decimal place)
So the speed of the cyclist is approximately 39.6 feet per second.
Next, to find out how many feet the cyclist will travel in 15 seconds, we can use the speed we just calculated.
Distance = Speed x Time
Distance = 39.6 feet per second x 15 seconds
Distance = 594 feet
Therefore, the cyclist will travel approximately 594 feet in 15 seconds.