Hayden is playing with a toy airplane. The height of the airplane, h, in metres, is given by the relation h = -5(t – 2)2 + 7, where t is the number of seconds since the plane was launched. At time t, the horizontal

distance travelled by the airplane is given by d - 4.57.

a) For how long will the airplane be in the air, rounded to the nearest tenth of a second? [4]

b) How far will the airplane travel horizontally by the time it hits the ground, rounded to the nearest tenth of a

metre? [1]

c) Can this information be used to determine the time when it reaches its maximum height? If so, what is the

maximum height? [3]