Question

A ball is dropped from a balcony 31 feet above the ground. What is the height above the ground at 1.3 seconds?

Answer 1

3.96 ft

Step-by-step explanation:

An freely-falling object dropped from a certain height travels a distance equal to

h = -16t^2

where t is the time elapsed. So after 1.3 s, the ball has traveled

h = -16(1.3)^2 = -27.04 ft

This means that after 1.3 s, the ball is 31 - 27.04 = 3.96 ft above the ground