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14 votes
14 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 Jkavalik
by
2.6k points

1 Answer

15 votes
15 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 Cthutu
by
2.9k points