Edexcel A-Level Physics Gradients and Areas of Motion Graphs

Practise Edexcel A-Level Physics gradients and areas of motion graphs through tangent gradients, velocity-time areas, acceleration-time areas and linked sketch graphs.

Exam points

use tangents and gradients on displacement-time or velocity-time graphs to find velocity or acceleration
use velocity-time or acceleration-time graph areas to find displacement or change in velocity
convert between displacement-time, velocity-time and acceleration-time graph shapes

[Maximum number: 4]

A swimmer swims a 100 m race. A simplified displacement-time graph for the swimmer is shown.

Figure for Question 1.3.3 - Gradients and areas of motion graphs question 1 — Edexcel A-Level Physics AS

Draw a corresponding velocity-time graph for the motion of the swimmer on the axes below. Show all working in the space below.

Use of v=s / t Or use of gradient

- $v=( \pm) 1.1$ to $1.2\left(\mathrm{~m} \mathrm{~s}^{-1}\right)$

- Scaling of the velocity axis so that the graph covers at least 50% of the paper above and below the axes.

(A minimum of 1 number on each axis required e.g. 1 and -1 )

- A positive constant velocity from 0 to 42 s and the same negative constant velocity from 48 s to 90 s with connecting line/curve (tolerance of $\pm 1 \mathrm{~s}$ )

Example of calculation

Initial velocity $=\frac{46 \mathrm{~m}}{40 \mathrm{~s}}=1.15 \mathrm{~m} \mathrm{~s}^{-1}$

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1.3.3 - Gradients and areas of motion graphs question 1