Question

In: Math

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

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

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

?(?) = 25? − 5?2

a) Show how to derive an expression for the instantaneous velocity 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 ball reaches its maximum

height?

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

Solutions

Expert Solution

milcah answered 2 years ago
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