The height h (in metres) of a ball thrown vertically upwards after t seconds is given by h(t)=−4t2+16t+2.
(i) Calculate the times when the ball is on the ground (h=0).
(ii) Find the maximum height reached by the ball and the time at which this occurs.
(iii) State the y-intercept of the graph and interpret its meaning in this context.
(iv) Sketch the graph of h against t for the entire flight, clearly marking the intercepts and the highest point.