Question

question 21 of 30
use the formula below to solve the given problem. in the formula, d
represents the distance an object falls, in meters, and t represents the time
that an object falls, in seconds. do not include units in your answer.
a penny dropped from the top of the empire state building takes 9.2 seconds
to reach the street. what is the height of the building?
√d = t·√4.9

Explanation:

Step1: Substitute \(t = 9.2\) into the formula

$$\sqrt{d}=9.2\times\sqrt{4.9}$$

Step2: Calculate \(9.2\times\sqrt{4.9}\)

First, \(\sqrt{4.9}\approx2.2136\), then \(9.2\times2.2136 = 20.36512\)
So, \(\sqrt{d}=20.36512\)

Step3: Solve for \(d\)

Square both sides: \(d=(20.36512)^2\approx415\)

Answer:

415