There are two rollercoaster rides at a fun park. Each can be represented by a

polynomial relationship with height h in metres after t seconds.

• Ride of terror: h = -0.113 +1.8t2-9.6t + 16

• Fear factor: h = 0.31³-51² +21t

Describe each ride to your friend who will be visiting

the fun park the next day. Include information such

as

- the initial height of the ride,

ii- times when the ride skims the ground or goes through an underground

tunnel.

iii- the duration of the ride.