204k views
3 votes
The Empire State Building is 1472 ft high. How long would it take an object dropped from the top to reach the ground

User Grych
by
5.8k points

1 Answer

4 votes

Answer:

Step-by-step explanation:

Givens

a = 32 feet / second

vi = 0

d = 1472 feet

t = ?

Formula

d = vi*t + 1/2 a t^2

Solution

1472 = 0*t + 1/2 * a * t^2 Multiply both sides by 2

2944 = 32 * t^2 Divide by 32

2944/32 = t^2

92 = t^2 Take the square root of both sides

sqrt(t^2) = sqrt(92)

t = 9.59 seconds

User Vishnu Narayanan
by
6.2k points