2026 MSHS P2 Q2

In a sports meet, the height, \(h\) metres, of a javelin thrown by an athlete is modelled by the formula, \(h=-\dfrac3{100}(w^2-36w-76)\), where \(w\) is the horizontal distance travelled by the javelin in metres.

1. By expressing \(h\) in the form \(A(w-B)^2+C\), where \(A\), \(B\) and \(C\) are constants, find the maximum height reached by the javelin and state the corresponding horizontal distance when this occurs.[3]
2. Find the horizontal distance covered by the javelin before it hits the ground.[2]