A football is kicked into the air. The path of the football is modelled by the equation

= 4.9( 2.4) 2 + 29 where is the height, in metres, of the football above the ground and is the time, in seconds, since the it was kicked.

a) What is the maximum height reached by the football? _________

How many seconds after it was kicked does the football reach this height? _________

b) What was the initial height of the football?

c) Sketch the path of the football. Clearly label the initial height and vertex.

d) After how long did the football reach the ground?