Solve the following word problems. You must use a quadratic function/equation and an algebraic method to solve the problem.

A cannon ball is fired from a cannon and follows a path given by h = -0.2t² + 4t + 2.3 where h is height in metres and t is time in seconds.

a) Graphically determine what the maximum height of the cannon ball is, Show your work.

b) When does the cannon ball reach the maximum height?