Time and Measurement - May 2008, Stage 4&5

Problems

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Round and Round a Circle

Stage: 4 Challenge Level: Challenge Level:1

Can you explain what is happening and account for the values being displayed?

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An Average Average Speed

Stage: 4 Challenge Level: Challenge Level:1

My average speed for a journey was 50 mph, my return average speed of 70 mph. Why wasn't my average speed for the round trip 60mph ?

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Trigonometric Protractor

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

An environment that simulates a protractor carrying a right- angled triangle of unit hypotenuse.

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Jumping Gerbils

Stage: 4 Challenge Level: Challenge Level:2 Challenge Level:2

A conveyor belt, with tins placed at regular intervals, is moving at a steady rate towards a labelling machine. A gerbil starts from the beginning of the belt and jumps from tin to tin.

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Swimmers

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Swimmers in opposite directions cross at 20m and at 30m from each end of a swimming pool. How long is the pool ?

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Cannon Balls

Stage: 5 Short Challenge Level: Challenge Level:1

How high will a ball taking a million seconds to fall travel?

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Universal Time, Mass, Length

Stage: 5 Short Challenge Level: Challenge Level:1

Can you work out the natural time scale for the universe?

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Dam Busters 1

Stage: 5 Challenge Level: Challenge Level:1

At what positions and speeds can the bomb be dropped to destroy the dam?

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Escape from Planet Earth

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

How fast would you have to throw a ball upwards so that it would never land?

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Dam Busters 2

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Can you work out which of the equations models a bouncing bomb? Will you be able to hit the target?

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Earth Orbit

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Follow in the steps of Newton and find the path that the earth follows around the sun.