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GCSE Physics forces and motion questions

Calculate average speed and acceleration, then use F = ma.

Practise

Find acceleration

Velocity changes from +8 to -7 m s⁻¹ in 5 s. Calculate the constant acceleration, including its sign. Give your answer to 3 significant figures.

One-dimensional motion with constant acceleration. Positive is the stated direction; displacement and velocity are signed. Air resistance is neglected in vertical motion.

Positive direction →Initiallyu = 8 m/sFinallyv = -7 m/sAcceleration unknownElapsed time 5 s
One-dimensional motion, positive to the right. Initial velocity 8 m/s; final velocity -7 m/s. Acceleration unknown. Arrows show direction only; positions are schematic.
Larger diagram
Positive direction →Initiallyu = 8 m/sFinallyv = -7 m/sAcceleration unknownElapsed time 5 s
Work through the calculation

Check intermediate steps, then use your unrounded working for the final answer. Each numerical check uses 3 significant figures. These steps provide support; the main answer is checked separately.

Step 1

Find the signed change v − u. Give your answer to 3 significant figures.

Show this step

Subtract initial velocity from final velocity.

Answer: -15.0 m s⁻¹ (3 significant figures).

Step 2

Now calculate the final answer to the main question.

Show this step

Use a = (v − u)/t.

Answer: -3.00 m s⁻² (3 significant figures).

Treat the given values as exact unless an uncertainty is stated.

Use decimals or e notation, e.g. 4.2e-3. Enter the unit separately.

Hint

Use a = (v − u)/t.

Worked solution
  1. a = (-7 − 8) / 5 = -3 m s⁻².
  2. Answer: -3.00 m s⁻² (3 significant figures).
Another question
Question type: Mixed practice
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Foundation and Higher: this set covers content common to both tiers. Some calculations need several steps.

Speed, acceleration and force

Average speed uses the total distance travelled and elapsed time. For acceleration, subtract the initial velocity from the final velocity, keeping the stated positive direction. F = ma uses the resultant force. Force diagrams, two-dimensional resolution and momentum are outside this set.

GCSE scope

AQA 8463: 4.5.1.4; 4.5.6.1.2, 4.5.6.1.5, 4.5.6.2.2; OCR Gateway J249: P2.1; P2.2; PM2.1i–ii, PM2.2i. Tasks cover the selected skills listed above.

AQA specification · OCR Gateway specification