Real-Life Graphs (Cambridge O Level Maths)

The diagram shows the speed–time graph for 100 seconds of the journey of a car and of a motorbike. 

Calculate how much further the car travelled than the motorbike during the 100 seconds.

 ............................................. m

The diagram shows the speed–time graph for the first 40 seconds of a cycle ride. 

Find the total distance travelled.

 .............................................. m

The diagram shows the speed–time graph for 90 seconds of a journey.

Calculate the total distance travelled during the 90 seconds.

............................................. m

The diagram shows information about the first 8 seconds of a car journey.

The car travels with constant acceleration reaching a speed of m/s after 6 seconds.
The car then travels at a constant speed of m/s for a further 2 seconds.
The car travels a total distance of 150 metres.

Work out the value of .

..............................................

A car travels at 20 m/s for 15 seconds before it comes to rest by decelerating at 2.5 m/s².

Find the total distance travelled.

................................................ m

Here is a speed-time graph for a car journey.
The journey took 100 seconds.

The car travelled 1.75km in the 100 seconds.

Work out the value of V.

Describe the acceleration of the car for each part of this journey

A horse runs in a field.

The speed-time graph represents the first 12 seconds of the run.

After how many seconds had the horse run a distance of 75 metres?

.........................seconds

The diagram is the speed–time graph of part of a train's journey.

The train slows down uniformly from a speed of m/s to a speed of m/s in a time of seconds.

During the next seconds, it accelerates uniformly to a speed of m/s.

Calculate the deceleration from  to .

............................m/s²

Calculate the speed of the train when .

.............................m/s

Calculate the distance travelled by the train from  to .

.......................m

The size of the acceleration is half the size of the deceleration.
Find the value of .

............................