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You must use limit theory for your answers to this question, results obtained by the algorithms...

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Basic Math

You must use limit theory for your answers to this question,results obtained by the algorithms of calculus will not earncredit.

1) The height, ?, in metres, (with ? measured inseconds) of a cricket ball (on being mishit straight upwards) ismodelled by the equation:

?(?) = 25? ? 5?2

a) Show how to derive an expression for the instantaneousvelocity at ? = ? seconds.

Simplify your expression as far as possible.

b) What is the initial velocity?

c) Find the instantaneous velocity when ? = 3

d) What does your answer to part (c) mean?

e) What will be the instantaneous velocity when the cricket ballreaches its maximum

height?

f) What is the maximum height reached by the cricket ball?

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