A ball is thrown directly upward from the edge of a cliff in wuch a way that t seconds later, it is

s=-16t^2+96t+144

feet above the ground at the base of the cliff. Sketch the graph of this equation (making the t-axis the horizontal axis) and then answer these questions:

a. How high is the cliff?

b. When (to the nearest tenth of a second) does the ball hit the ground at the base of the cliff?

c. Estimate the time it takes for the ball to reach its maximum height. What is the maximum height?