Problems adapted from questions set for previous Mathematics exams.
The following diagram shows a distance-time graph of the movement of a fish.
(a) Work out the average speed between 10 and 20 seconds.
(b) Estimate the speed of the fish at 25 seconds.
Marilou and Sam had a skiing race. Here is Marilou’s speed-time graph from the start of the race.
(a) Marilou crossed the finishing line after a time of 40 seconds. How long was the race?
(b) Sam finished after a time of 50 seconds. What was his average speed, in kilometres per hour, for the race?
A model train is placed on a length of straight track.
(a) Draw a velocity-time graph for the train on graph paper provided below.
(b) Work out the total distance travelled by the model train.
Here is a speed-time graph for a go kart.
Work out an estimate for the distance the kart travelled in the first 12 seconds by using six strips of equal width.