Speed and acceleration

There are 46 NRICH Mathematical resources connected to Speed and acceleration
Take your Dog for a Walk
problem
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Take your dog for a walk

Age
7 to 11
Challenge level
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Use the interactivity to move Pat. Can you reproduce the graphs and tell their story?

Nutrition and Cycling
problem
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Nutrition and cycling

Age
14 to 16
Challenge level
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Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
Triathlon and Fitness
problem
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Triathlon and fitness

Age
11 to 14
Challenge level
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The triathlon is a physically gruelling challenge. Can you work out which athlete burnt the most calories?
One and three
problem
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One and three

Age
14 to 16
Challenge level
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Two motorboats travelling up and down a lake at constant speeds leave opposite ends A and B at the same instant, passing each other, for the first time 600 metres from A, and on their return, 400 metres from B. How long is the lake?
Place your orders
problem
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Place your orders

Age
11 to 14
Challenge level
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Can you rank these sets of quantities in order, from smallest to largest? Can you provide convincing evidence for your rankings?
How far does it move?
problem
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How far does it move?

Age
11 to 14
Challenge level
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Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects the distance it travels at each stage.

Speeding up, slowing down
problem
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Speeding up, slowing down

Age
11 to 14
Challenge level
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Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its speed at each stage.

Up and across
problem
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Up and across

Age
11 to 14
Challenge level
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Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.

Take a message soldier
problem
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Take a message soldier

Age
14 to 18
Challenge level
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A messenger runs from the rear to the head of a marching column and back. When he gets back, the rear is where the head was when he set off. What is the ratio of his speed to that of the column?