A cricket ball is hit vertically upwards and its height h metres above the ground after t seconds is given by h = 20t - 5t². What is the maximum height reached by the ball?

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Question

A cricket ball is hit vertically upwards and its height h metres above the ground after t seconds is given by h = 20t - 5t². What is the maximum height reached by the ball?

Accepted Answer

20 m — Award 1 mark for correct answer. The maximum height occurs at the vertex. Using t = -b/(2a) = -20/(2×-5) = 2 seconds. Substituting t = 2: h = 20(2) - 5(2)² = 40 - 20 = 20 m. A results from calculating only 20t at t = 1. C results from incorrect vertex calculation. D results from calculating 20t without subtracting 5t².

Answer

25 m

Answer

15 m

Answer

20 m

Answer

40 m

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