Speed and acceleration

There are 46 NRICH Mathematical resources connected to Speed and acceleration
John's train is on time
problem
Favourite

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?
problem
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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
problem
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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
Favourite

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...

Bike Shop
problem

Bike shop

Age
14 to 16
Challenge level
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If I walk to the bike shop, but then cycle back, what is my average speed?
Alternative Record Book
problem

Alternative record book

Age
14 to 18
Challenge level
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In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
In Order
problem

In order

Age
7 to 11
Challenge level
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Can you rank these quantities in order? You may need to find out extra information or perform some experiments to justify your rankings.
There and back
problem

There and back

Age
14 to 16
Challenge level
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Brian swims at twice the speed that a river is flowing, downstream from one moored boat to another and back again, taking 12 minutes altogether. How long would it have taken him in still water?
Tummy Ache
problem

Tummy ache

Age
14 to 16
Challenge level
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Timmy, Tammy and Tommy all go to the doctors. In what order do they arrive at the surgery?
Don't Be Late
problem

Don't be late

Age
11 to 14
Challenge level
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Mary is driving to Birmingham Airport. Using her average speed for the entire journey, find how long her journey took.