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The motion of a football is described by the function y ( t ) = ( a - t ) ( b + t )
The motion of a football is described by the function
where is the time in seconds, is the vertical height above the ground in metres and and are constants.
a Use the method described in Part Example to differentiate the function being careful to
i apply the methods of calculus to derive the formula you are using
ii describe your reasoning at every stage of the calculation
marks
b Another function gives the following derivative
Find the times at which the altitude is an extremum.
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