Chris is enjoying a swim but needs to get back for lunch. If she can swim at 3 m/s and run at 7m/sec, how far along the bank should she land in order to get back as quickly as possible?
A ladder 3m long rests against a wall with one end a short distance from its base. Between the wall and the base of a ladder is a garden storage box 1m tall and 1m high. What is the maximum distance up the wall which the ladder can reach?
Work in groups to try to create the best approximations to these
Was it possible that this dangerous driving penalty was issued in
How do these modelling assumption affect the solutions?
10 intriguing starters related to the mechanics of sport.
See how the motion of the simple pendulum is not-so-simple after
A collection of short Stage 3 and 4 problems on Mathematical Modelling.
Weekly Problem 18 - 2014
The 80 spokes of the giant wheel The London Eye are made from 4 miles of cable. What is the approximate circumference of the wheel?
Weekly Problem 25 - 2017
At the airport, the walkway moves with a speed of 4km/h and is 500m long. If Andrew walks with a speed of 6km/h and Bill stands still, how much ahead of Bill is Andrew when he finishes?