Carl Allan hit the volleyball at 3 ft above the ground with an initial velocity of 32 ft/sec. The path of the ball is given by the function S(t) = -16t^2 + 32t + 3, where S is the height of the ball at t seconds. What is the maximum height reached by the ball?

a) What kind of function is used to model the path of the volleyball?
b) Draw the path of the volleyball and observe the curve.
c) What is the maximum height reached by the ball?
d) What is represented by the maximum point of the graph?

Question

Carl Allan hit the volleyball at 3 ft above the ground with an initial velocity of 32 ft/sec. The path of the ball is given by the function S(t) = -16t^2 + 32t + 3, where S is the height of the ball at t seconds. What is the maximum height reached by the ball?

a) What kind of function is used to model the path of the volleyball?
b) Draw the path of the volleyball and observe the curve.
c) What is the maximum height reached by the ball?
d) What is represented by the maximum point of the graph?