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Case studies (2)

MaterialEntrance-exam arithmetic (moving figures)

How far can a dog on a rope move around its kennel?

A dog is tied by a 4 m rope to the corner of a 2 m by 4 m kennel. Where the rope catches on a corner, the centre and radius of the arc change. Noticing that switch is the judgment this problem turns on. Four steps, each with a figure and the equation.

MaterialHarvard “Problem of the Week”

Why do two stacked balls bounce so high?

Drop a tennis ball stacked on a basketball and the tennis ball bounces to about nine times the height it fell from. Step by step, we check which conditions that answer depends on.