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nmoore017
17.10.2020 •
Mathematics
The empire state building stands at a height of 1,454 feet. Given the choice between feet feet per second or miles per hour, which rate of measure is more reasonable to describe the speed of a penny when dropped off the top of the building? Justify your reasoning using mathematical laguage
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Ответ:
miles per hour
Step-by-step explanation:
speed can be define as the rate of distance covered in a given time.
i.e speed =![\frac{distance}{time}](/tpl/images/0816/3846/75e70.png)
Given that the height (distance) of the empire state building = 1454 feet.
a. For feet per second;
distance = 1454 feet
time = 1 second
speed =![\frac{1454}{1}](/tpl/images/0816/3846/8a78d.png)
= 1454 feet/second
b. For miles per hour,
1 feet = 0.000189394 mile
Thus, 1454 feet = 0.2753788 mile
distance = 0.2753788 mile
time = 1 hour
speed =![\frac{0.2753788}{1}](/tpl/images/0816/3846/5d666.png)
= 0.2753788 miles/hour
Comparing the two units of measurement, miles per hour is more reasonable. This is because the penny can not move at that very high speed to hit the ground within 1 second when dropped.
Ответ:
it is y= 2.425
that was not too hard (for me)