the beach race
A beach race begins from a point, 4 km out to sea from one end of a 10km beach. Racers must swim to a point along the beach, and then run to the finish line. If I can swim at 4 kph and run at 10 kph, to what point on the beach should I aim to land?
Can you find the landing point for which the time of the race will be as short as possible - as accurately as possible?
This problem may also be modelled using CabriJr on the TI-83/84 series calculator. Click on the graphic below to download the file and try it yourself!
Try having students work in pairs: one generating data points using the CabriJr model and the partner entering these into lists to plot and then to help build their algebraic model!
And just wait until you try this with TI-nspire CAS!
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