Advanced MathHardRise to a maximum from a vertex-form model
Advanced Math practice question
The height h, in metres, of a drone t seconds after launch is modelled by h(t) = −(t − 5)² + 30 for 0 ≤ t ≤ 10. By how many metres does the drone rise between t = 2 and the moment it reaches its greatest height?
Answer: 9
h(2) = 21 and the maximum, at t = 5, is 30; the rise is 9.
Common wrong answers
- If you answered 3
- 3 is the number of seconds, not metres.
- If you answered 21
- 21 is the height at t = 2.
- If you answered 30
- 30 is the maximum height.
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