Question

How long in seconds does it take for an object to hit the sidewalk if dropped from a 400 foot tall building

please help my grade is bad in math

Answer 1

Using the free fall calculator from omnicalculator.com, we can determine the time it takes for an object to hit the sidewalk when dropped from a 400-foot tall building. Assuming the object is dropped from rest (v₀ = 0), we use the formula s = (1/2)gt², where s is the distance fallen, g is the acceleration due to gravity (9.80665 m/s²), and t is the time of fall.

First, we convert 400 feet to meters, approximately 121.92 meters. Then, we plug in the values into the formula and solve for t:

121.92 = (1/2) * 9.80665 * t²

Simplifying the equation, we get:

t² = 121.92 / 4.903325

t² = 24.8

t ≈ 4.98 seconds Thus, an object dropped from a 400-foot tall building takes approximately 4.98 seconds to hit the sidewalk.