2.17 Real-Life Graphs

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

Find the acceleration between 20 and 40 seconds.

......................................... m/s²

The diagram shows information about the final 70 seconds of a car journey.

Find the deceleration of the car between 60 and 70 seconds.
 

.....................................m/s² 

Find the distance travelled by the car during the 70 seconds.
 

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

 
When Heidi was born, her grandfather invested some money in an account that paid compound interest.
The graph shows the exponential growth of this investment.

$ ................................................ [1]

....................................... years [1]

$ ................................................ [1]

The diagram shows the speed−time graph for the first seconds of a car journey.

Find the acceleration during the first 10 seconds.
 

 ........................................ m/s² 

The total distance travelled during the  seconds is 480 m.
 
Find the value of .
 

= ................................................

The speed-time graph shows information about the journey of a tram between two stations.

Calculate the distance between the two stations.

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

Calculate the average speed of the tram for the whole journey.

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

The diagram shows the speed–time graph for the final 40 seconds of a car journey.
At the start of the 40 seconds the speed is m/s.

The total distance travelled during the 40 seconds is 1.24 kilometres.

Find the value of .
 

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

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

Jalina left her home at 10 00 to cycle to a park.
On her way to the park, she stopped at a friend’s house and then continued her journey to the park.
Here is the distance-time graph for her journey to the park.

On her journey to the park, did Jalina cycle at a faster speed before or after she stopped at her friend’s house?
Give a reason for your answer.

Jalina stayed at the park for 45 minutes.
She then cycled, without stopping, at a constant speed of 16 km/h from the park back to her home.

Show all this information on the distance-time graph.

Work out Jalina’s average cycling speed, in kilometres per hour, for the complete journey to the park and back.
Do not include the times when she was not cycling in your calculation.
Give your answer correct to 1 decimal place.

.........................km/h