On Monday, a colleague of mine found an interesting problem (I don’t know where) and brought it over to me to take a look at. It was presented in the textbook in one of those “fake-real world type scenarios” so I thought I could do better with the context. Originally it was about finding the distance from the corner of a garden to a tap in the middle of the garden. Here it is now – it’s not exactly an “any questions?” type task because the question is obvious I think: “Will John get to the dodgeball before Sarah?”
After a brief discussion on the lack of information given within the problem, and the modelling assumptions about constant speed vs acceleration, present the students with more information to tackle the problem:
Given that the court is a perfect rectangle, if John runs at 8 m/s and Sarah runs at 5 m/s, will John get to the dodgeball first?
Happy Problem Solving!
Question/Extension Exploration: Can anyone solve this without the use of Pythagoras?