2026 AHS P2 Q10

A ball is rolled down a skateboard ramp. Its height \(h\text{ m}\), above the ground at \(t\) seconds after being released is given by the formula \(h=0.1t^2-t+3\).

1. State the height of the ramp from which the ball is first released.[1]
2. Express \(h\) in the form of \(a(t+b)^2+c\) where \(a\), \(b\) and \(c\) are constants to be determined.[3]
3. State the minimum height attained by the ball and the time at which this occurs.[2]
4. Find the times at which the ball is \(2.5\text{ m}\) above the ground.[3]