The height, in metres, of an arrow fired horizontally from the top of a castle is modelled

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The height, in metres, of an arrow fired horizontally from the top of a castle is modelled by the function f(t), where f(0) = 35. Given that f′(t) = −9.8t,

a. Find f(t).

b. Determine the height of the arrow when t = 1.5.

c. Write down the height of the castle according to this model.

d. Estimate the time it will take the arrow to hit the ground.

e. State one assumption used in your calculation.

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Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

ISBN: 9781292183398

1st Edition

Authors: Greg Attwood

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Question Posted: Jul 15, 2023 04:11 AM

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The height, in metres, of an arrow fired horizontally from the top of a castle is modelled

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a To find ft we need to integrate ft 98t with respect to t Integrating the function gives us ft dt 9...View the full answer

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

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