How to find the instantaneous velocity of a falling object

The video tutorial explains how to determine the velocity of a diver by setting a function equal to zero and using derivatives. It starts by establishing the initial conditions and defining velocity as the derivative of the position function. The tutorial then derives the velocity function V(T) and evaluates it at t=2 seconds, resulting in a velocity of -48 feet per second. The importance of using correct units and labels is emphasized throughout.

At what time does the diver hit the water?

• t = 0

• t = 1

• t = 3

• t = 2

What is the derivative of the position function used to find?

• Acceleration

• Time

• Distance

• Velocity

What is the formula for the velocity function V(T)?

• V(T) = -32T + 16

• V(T) = -16T + 32

• V(T) = 16T - 32

• V(T) = 32T + 16

What is the velocity of the diver at 2 seconds?

• -32 feet per second

• -16 feet per second

• 48 feet per second

• -48 feet per second

Why is it important to use labels and units in calculations?

• To make it more colorful

• To confuse the reader

• To avoid getting marked down

• To make the answer look longer