Topic 1 of 8 · Form 3
Physical quantities, measurement and motion
SI units and prefixes; measuring length (rule, micrometer, vernier calipers), volume (measuring cylinder, displacement), time (stopwatch – time many oscillations). Scalars (distance, speed, mass, energy) and vectors (displacement, velocity, force, acceleration); resultant of two vectors at right angles by calculation or scale drawing.
Notes for this topic 1 file, in order
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Measurement
SI units and prefixes; measuring length (rule, micrometer, vernier calipers), volume (measuring cylinder, displacement), time (stopwatch – time many oscillations). Scalars (distance, speed, mass, energy) and vectors (displacement, velocity, force, acceleration); resultant of two vectors at right angles by calculation or scale drawing.
Motion
Speed = distance ÷ time; velocity is speed in a stated direction; acceleration a = Δv/Δt.
- Distance–time graphs: gradient = speed.
- Speed–time graphs: gradient = acceleration; area = distance.
Worked example: A cyclist accelerates uniformly from 2 m/s to 10 m/s in 4 s. Find the acceleration and distance.
a = 8 ÷ 4 = 2 m/s²; distance = average speed × time = 6 × 4 = 24 m
Free fall
Acceleration of free fall g ≈ 9.8 m/s² near the Earth's surface; with air resistance, objects reach terminal velocity.
Check yourself
- Is acceleration a scalar or a vector?
- Find the resultant of forces of 6 N east and 8 N north.
- What does a horizontal line on a speed–time graph show?
Show answers
- A vector.
- 10 N at 53° north of east (bearing 037°).
- Constant speed (zero acceleration).
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