Speed and acceleration
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problemN people visit their friends staying N kilometres along the coast. Some walk along the cliff path at N km an hour, the rest go by car. How long is the road? -
problemRevolutions
Jack and Jill run at different speeds in opposite directions around the maypole. How many times do they pass in the first minute?
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problemIn Constantly Passing
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?
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problemTummy Ache
Timmy, Tammy and Tommy all go to the doctors. In what order do they arrive at the surgery?
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problemAn Average Average Speed
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 ?
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problemOne and Three
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?
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problemJumping Gerbils
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.
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problemFour on the Road
Four vehicles travel along a road one afternoon. Can you make sense of the graphs showing their motion? -
problemHow Do You React?
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...