A displacement-time graph shows the change in displacement over a time period. The displacement along a straight line can be positive or negative.

The gradient on a displacement-time graph gives the instantaneous velocity.

The instantaneous velocity is the velocity of an object at a particular moment in time.

Calculating from displacement-time graphs (v = x ÷ t)

Combined science

Different speeds (v=x/t)

Measuring instantaneous speed practical (v = x ÷ t)

Measuring instantaneous speed analysis (v=x/t)

Automated measurement of speed

Displacement and velocity as vectors (v=x/t)

Velocity on a graph (v = x ÷ t)

Acceleration (a=(v-u)/t)

Measuring acceleration practical (v=x/t, a=(v-u)/t)

Measuring acceleration analysis (v = x ÷ t, a = (v – u) ÷ t)

Calculating from velocity-time graphs (a=(v-u)/t)

Calculating from motion graphs (a=(v–u)/t  and v=x/t)

Motion calculations (a=(v–u)/t, v²−u²=2ax & v=x/t)

In the Energy of moving objects unit, they will build on this knowledge to learn how to calculate the amount of energy of objects have because they are moving, stretched or in a gravitational field; and to calculate energy transfers using knowledge of energy conservation and dissipation.

In the Moving by force unit, pupils learnt how to calculate speed and describe motion using distance-time graphs, apply Newton’s First Law of motion and calculate the amount of energy needed to move an object to a new position.

This unit covers vector-scalar distinctions in displacement, distance, velocity, and speed. It explores speeds, acceleration, motion graphs, and formulas for uniform and non-uniform motion. It also includes understanding circular motion and conducting accurate measurements, and calculations.

Measuring and calculating motion

a graph showing distance in a given direction over a period of time

how fast an object moves in a given direction

how fast an object moves in a given direction over a period of time

Match the key words and phrases to the correct descriptions.

the total distance they travelled was 6 m

the total distance they travelled was 18 m

A pupil follows these movement instructions: move 5 m left, then 4 m left, then 6 m right and finally 3 m left.
Which of the following statements are correct?

The figure shows a displacement-time graph.
What is the total distance travelled during the 50 s?

The figure shows a displacement-time graph.
Calculate the average velocity for the first 20 s.

The figure shows a displacement-time graph.
Calculate the average velocity between 30 s and 50 s.

The figure shows a displacement time graph.
At which of these times is the speed greatest?

time is shown on the x–axis (horizontal)

displacement is shown on the x–axis (horizontal)

displacement is shown on the y–axis (vertical)

Which of the following are features of a typical displacement–time graph?

Match the quantity to the correct description.

Which of the following are examples of velocity?

The displacement will be at its maximum value.

The gradient of the line will be the steepest.

The gradient of the line will be the shallowest.

Which of the following features of a displacement–time graph indicates an object travelling at the greatest speed?

Calculate the speed of a car that travels 500 m in 25 s. 
Include the unit in your answer.

How long will a fish travelling at 2.5 m/s take to travel 1.5 km?

Calculating from displacement-time graphs (v = x ÷ t)

Lesson outcome