Use a(t)= -32 feet per second squared as the acceleration due to gravity. A ball is thrown vertically upward from the ground with an initial velocity of 96 feet per second. How high will the ball go.
The velocity is where is the initial velocity. Therefore, the velocity function is:
So now you have to find the point where , since this is the point where the ball is at the maximum hieght. Since the ball started at the ground, the initial position is , so see if you can find the deduce the maximum height with this information. Just think about the relationship between velocity and position.