Speed and acceleration

  • N is a Number
    problem

    N Is a Number

    Age
    11 to 14
    Challenge level
    3 out of 3
    N 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?
  • Small pepper seedlings in turquoise pots.
    problem

    Revolutions

    Age
    11 to 14
    Challenge level
    3 out of 3

    Jack and Jill run at different speeds in opposite directions around the maypole. How many times do they pass in the first minute?

  • In Constantly Passing
    problem

    In Constantly Passing

    Age
    14 to 16
    Challenge level
    1 out of 3

    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?

  • Small pepper seedlings in turquoise pots.
    problem

    Tummy Ache

    Age
    14 to 16
    Challenge level
    1 out of 3

    Timmy, Tammy and Tommy all go to the doctors. In what order do they arrive at the surgery?

  • An Average Average Speed
    problem

    An Average Average Speed

    Age
    14 to 16
    Challenge level
    1 out of 3

    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 ?

  • One and three
    problem

    One and Three

    Age
    14 to 16
    Challenge level
    2 out of 3

    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?

  • Small pepper seedlings in turquoise pots.
    problem

    Tyneside Average Speed

    Age
    14 to 16
    Challenge level
    2 out of 3

    Can you work out the average speed of the van?

  • Jumping Gerbils
    problem

    Jumping Gerbils

    Age
    14 to 16
    Challenge level
    2 out of 3

    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.

  • Four on the Road
    problem

    Four on the Road

    Age
    14 to 16
    Challenge level
    2 out of 3
    Four vehicles travel along a road one afternoon. Can you make sense of the graphs showing their motion?
  • How do you react?
    problem

    How Do You React?

    Age
    14 to 16
    Challenge level
    2 out of 3
    To investigate the relationship between the distance the ruler drops and the time taken, we need to do some mathematical modelling...