AQA GCSE Distance-time graphs(Physics)

Distance time graphs

A distance time graph is used to show the journey of an object over time. 

Distance(m)Time (seconds)
00
101
202
303

The data in the table above have been used to plot the distance time graph below.

Distance time graph plotted

Characteristics of distance time graphs

Analysing distance time graphs. Horizontal line the object is stationary. Straight line object has constant speed.
Distance time graphs for speed decreasing and speed increasing

 

Calculate the Speed using a distance time graph

Speed = distance/time

The gradient of a distance time graph will give us the speed of the object. 

We will use the following graph to show you how to calculate the speed:

Distance time graph plotted

First draw a triangle and use the axes to measure the lengths of the sides. 

how to calculate the gradient of a distance time graph to find the speed.

Gradient = Speed, 

Gradient = Change in Y axis/Change in X axis

The Y axis (distance) is 30m-10m which is 20m

The X axis (time) is 3 seconds -1 second = 2 seconds

Speed = distance/time

Speed = 20m/2s = 10m/s

As the line is a straight line, the speed is constant

 

Fast and slow objects.

In the distance time graph below:

Distance time graph for two objects, both travelling at different speeds

The green line for the man walking is less steep, so it has a small gradient and is moving more slowly

The red line for the man running is more steep, it has a bigger gradient and is moving faster. 

Acceleration and distance-time graphs

In the following graph, as time increases the gradient is decreasing, so the speed is decreasing. This means that the object has a negative acceleration or a deceleration.

Distance time graph for an object decelerating

The next graph wil show that as time increases, the gradient is increasing, so speed is increasing. This means that the object is accelerating.

Distance time graph for an object accelerating.

Practice Questions

1.How can you find the speed of an object using a distance time graph

2. Analyse the distance time graph below and answer the following questions. 

Distance time graph showing the journey of an object.

A car was driven a short distance then stopped for a brief period, before driving for a further distance to complete its journey. Use the distance time graph above to answer the following questions

2a. How far did the car travel in the first 2 seconds

2b. How long was the car stationary for

2c. During which time period was the car moving at the fastest speed?

2d. Calculate the speed of the car between 0 to 2 seconds

2e. Calculate the speed of the car between 7 to 13 seconds.

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