Time and Measurement - May 2008, Stage 4&5

Problems

Round and Round a Circle

Stage: 4 Challenge Level:

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

An Average Average Speed

Stage: 4 Challenge Level:

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 ?

Trigonometric Protractor

Stage: 4 Challenge Level:

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

Jumping Gerbils

Stage: 4 Challenge Level:

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.

Swimmers

Stage: 4 Challenge Level:

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

Cannon Balls

Stage: 5 Short Challenge Level:

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

Universal Time, Mass, Length

Stage: 5 Short Challenge Level:

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

Dam Busters 1

Stage: 5 Challenge Level:

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

Escape from Planet Earth

Stage: 5 Challenge Level:

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

Dam Busters 2

Stage: 5 Challenge Level:

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

Earth Orbit

Stage: 5 Challenge Level:

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