Speed and acceleration

There are 46 NRICH Mathematical resources connected to Speed and acceleration
Walk and Ride
problem

Walk and ride

Age
7 to 14
Challenge level
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How far have these students walked by the time the teacher's car reaches them after their bus broke down?
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?
Bike Ride
problem

Bike ride

Age
7 to 11
Challenge level
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Nirmala and Riki live 9 kilometres away from the nearest market. They both want to arrive at the market at exactly noon. What time should each of them start riding their bikes?
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?
The hare and the tortoise
problem

The hare and the tortoise

Age
7 to 11
Challenge level
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In this version of the story of the hare and the tortoise, the race is 10 kilometres long. Can you work out how long the hare sleeps for using the information given?
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 ?
Home Time
problem

Home time

Age
7 to 11
Challenge level
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Alice's mum needs to go to each child's house just once and then back home again. How many different routes are there? Use the information to find out how long each road is on the route she took.
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.
In Constantly Passing
problem

In constantly passing

Age
14 to 16
Challenge level
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A car is travelling along a dual carriageway at constant speed. Every 3 minutes a bus passes going in the opposite direction, while every 6 minutes a bus passes the car travelling in the same direction. Buses leave the depot at regular intervals; they travel along the dual carriageway and back to the depot at a constant speed. At what interval do the buses leave the depot?
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 ?