Was it possible that this dangerous driving penalty was issued in
To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...
Explore displacement/time and velocity/time graphs with this mouse
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. . . .
At Holborn underground station there is a very long escalator. Two
people are in a hurry and so climb the escalator as it is moving
upwards, thus adding their speed to that of the moving steps. . . .
In which Olympic event does a human travel fastest? Decide which events to include in your Alternative Record Book.
Andy wants to cycle from Land's End to John o'Groats. Will he be able to eat enough to keep him going?
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?
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 ?
Mike and Monisha meet at the race track, which is 400m round. Just to make a point, Mike runs anticlockwise whilst Monisha runs clockwise. Where will they meet on their way around and will they ever. . . .
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.
Swimmers in opposite directions cross at 20m and at 30m from each
end of a swimming pool. How long is the pool ?
Two cyclists, practising on a track, pass each other at the starting line and go at constant speeds... Can you find lap times that are such that the cyclists will meet exactly half way round the. . . .
Have you ever wondered what it would be like to race against Usain Bolt?
Two buses leave at the same time from two towns Shipton and Veston on the same long road, travelling towards each other. At each mile along the road are milestones. The buses' speeds are constant. . . .
A security camera, taking pictures each half a second, films a
cyclist going by. In the film, the cyclist appears to go forward
while the wheels appear to go backwards. Why?
Two boats travel up and down a lake. Can you picture where they
will cross if you know how fast each boat is travelling?
Four vehicles travel along a road one afternoon. Can you make sense
of the graphs showing their motion?
A cyclist and a runner start off simultaneously around a race track each going at a constant speed. The cyclist goes all the way around and then catches up with the runner. He then instantly turns. . . .
Can you adjust the curve so the bead drops with near constant
Looking at the graph - when was the person moving fastest? Slowest?
Four vehicles travelled on a road with constant velocities. The car
overtook the scooter at 12 o'clock, then met the bike at 14.00 and
the motorcycle at 16.00. The motorcycle met the scooter at. . . .
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?
Fifteen students had to travel 60 miles. They could use a car, which could only carry 5 students. As the car left with the first 5 (at 40 miles per hour), the remaining 10 commenced hiking along the. . . .
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. . . .
This set of resources for teachers offers interactive environments
to support work on graphical interpretation at Key Stage 4.