Example 4

The velocity of a ball thrown directly upward can be modeled with the following equation: , where is the velocity, is the acceleration due to gravity, is the elapsed time, and is the initial velocity at time 0. If the acceleration due to gravity is equal to 32 feet per second per second, and the initial velocity of the ball is 96 feet per second, what is the equation that represents the velocity of the ball? Graph the equation.