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
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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?
Take a message soldier
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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?
John's train is on time
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John's train is on time

Age
11 to 14
Challenge level
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A train leaves on time. After it has gone 8 miles (at 33mph) the driver looks at his watch and sees that the hour hand is exactly over the minute hand. When did the train leave the station?
Dangerous driver?
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Dangerous driver?

Age
16 to 18
Challenge level
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Was it possible that this dangerous driving penalty was issued in error?
Speeding boats
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Speeding boats

Age
14 to 16
Challenge level
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Two boats travel up and down a lake. Can you picture where they will cross if you know how fast each boat is travelling?
An Unhappy End
problem
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An unhappy end

Age
11 to 14
Challenge level
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Two engines, at opposite ends of a single track railway line, set off towards one another just as a fly, sitting on the front of one of the engines, sets off flying along the railway line...

One and three
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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?