How to find the time it takes for a falling object to hit the floor

The video tutorial explains how to determine when a diver hits the water after jumping from a 32-foot platform. The position of the diver is represented by the equation s(t) = -16t^2 + 16t + 32, where t is time. The goal is to find the time when the diver's position is zero, indicating they have hit the water. By solving the quadratic equation, it is determined that the diver hits the water at t = 2 seconds.

What does the variable T represent in the context of the diver's jump?

• The height of the platform

• The time elapsed

• The speed of the diver

• The distance to the water

What is the initial height of the platform from which the diver jumps?

• 32 feet

• 16 feet

• 48 feet

• 64 feet

What is the purpose of setting the position equation to zero?

• To calculate the speed of the diver

• To find the initial position of the diver

• To determine the time when the diver hits the water

• To find the maximum height of the diver

Which of the following is a solution to the equation 0 = -16T^2 + 16T + 32?

• T = 0

• T = 1

• T = 3

• T = 2

Why is T = -1 not considered a valid solution for the time when the diver hits the water?

• Because it is not a real number

• Because time cannot be negative

• Because it represents the initial position

• Because it exceeds the maximum height