2026 NORTHBROOKS P1 Q4

The starting section of a roller coaster track can be modelled by the equation \(y=3t^2-24t+103\), where \(y\) represents the height, in metres, of the first roller coaster car at time \(t\) seconds.

1. Explain the meaning of the constant term 103 in this model.[1]
2. Express \(3t^2-24t+103\) in the form of \(a(t-h)^2+k\).[2]
   It is stated in safety requirements that roller coaster tracks must be at least 25 m above the ground.
3. Determine, with reasons, whether this section of the roller coaster track has met the safety requirements.[1]