A diver launches herself off a springboard The height of the diver, in metres, above the pool t seconds after launch can be modelled by the following function h(t) 5t 10t 2 10, t 0 a How high is the springboard above the water b Use the model to find the time at which the diver hits the water c Rea...

a To find the height of the springboard above the water we can substitute t 0 into the equation ht h ...

A diver launches herself off a springboard. The height of the diver, in metres, above the pool

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A diver launches herself off a springboard. The height of the diver, in metres, above the pool t seconds after launch can be modelled by the following function: h(t) = 5t − 10t² + 10, t > 0

a. How high is the springboard above the water?

b. Use the model to find the time at which the diver hits the water.

c. Rearrange h(t) into the form A − B(t − C)² and give the values of the constants A, B and C.

d. Using your answer to part c or otherwise, find the maximum height of the diver, and the time at which this maximum height is reached.

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

ISBN: 9781292183398

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Authors: Greg Attwood

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Question Posted: Jul 11, 2023 02:41 AM

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A diver launches herself off a springboard. The height of the diver, in metres, above the pool

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

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