Speed and acceleration

There are 46 NRICH Mathematical resources connected to Speed and acceleration
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.
Four on the Road
problem

Four on the Road

Age
14 to 16
Challenge level
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Four vehicles travel along a road one afternoon. Can you make sense of the graphs showing their motion?
Speeding boats
problem

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?
Dangerous driver?
problem

Dangerous driver?

Age
16 to 18
Challenge level
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Was it possible that this dangerous driving penalty was issued in error?
Thunder and Lightning
problem

Thunder and Lightning

Age
11 to 14
Challenge level
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How far away was the lightning if the flash and the thunderclap were 6 seconds apart?
Swimmers
problem

Swimmers

Age
14 to 16
Challenge level
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Swimmers in opposite directions cross at 20m and at 30m from each end of a swimming pool. How long is the pool ?
Jumping Gerbils
problem

Jumping Gerbils

Age
14 to 16
Challenge level
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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.
An Average Average Speed
problem

An Average Average Speed

Age
14 to 16
Challenge level
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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 ?
Revolutions
problem

Revolutions

Age
11 to 14
Challenge level
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Jack and Jill run at different speeds in opposite directions around the maypole. How many times do they pass in the first minute?
Motion Sensor
problem

Motion Sensor

Age
14 to 16
Challenge level
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Looking at the graph - when was the person moving fastest? Slowest?