Differentiation

Scenario - Tony Eagle, famous skateboarder, has been hired to design some skateboard ramps for a local city council. He decides to use mathematics to help him design some useful ramps. In this task you will be looking at formulas for the cross section of the ramp, as if you were looking at it from the side. Generally, the width of the ramps is 5 m to allow for more than one skateboarder at a time.

Scenario - Tony’s end design for a ramp was built in Sumsion Gardens and on the opening day Tony Eagle gave it a go. On his first run, the height of Tony’s skateboard at any given time (seconds) is modelled and analysed.