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Hong Kong
Stage 4 - Stage 5

Applications of Maximisation and Minimisation

Interactive practice questions

The height $h$h, in metres, reached by a ball thrown in the air after $t$t seconds is given by the equation $h=10t-t^2$h=10tt2.


Fill in the following table of values for $h=10t-t^2$h=10tt2.

$t$t $1$1 $2$2 $3$3 $4$4 $5$5 $6$6 $7$7 $8$8 $9$9 $10$10
$h$h $\editable{}$ $16$16 $\editable{}$ $24$24 $\editable{}$ $\editable{}$ $\editable{}$ $16$16 $\editable{}$ $0$0



Graph the relationship $h=10t-t^2$h=10tt2.

Loading Graph...

Determine the height of the ball after $5.5$5.5 seconds have elapsed.


What is the maximum height reached by the ball?

Approx 6 minutes

The sum of two integers is $80$80.

A rectangle is to be constructed with $80$80 metres of wire. The rectangle will have an area of $A=40x-x^2$A=40xx2, where $x$x is the length of one side of the rectangle.

The sum of two whole numbers is $24$24. Let one of the numbers be $x$x.

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