Standing on level ground and throws a small ball into the air. The flight path of the ball is modeled by the equation h=1+6t−3t2,t>0 where h is the height in meters above ground and t is the time in seconds after it’s thrown.

(a) Write down the height the ball was released from.

(b) Find the time taken for the ball to hit the ground giving your answer to 3 significant figures.

(c) Find the time taken for the ball to reach its maximum height above the ground.
(d) Find the maximum height the ball reaches above the ground.

(e)Show that the value found in part (d) is a maximum by using differentiation.