Scalars and Vectors
- Scalar quantity: has magnitude only (e.g. distance, speed, mass, time, temperature)
- Vector quantity: has both magnitude and direction (e.g. displacement, velocity, acceleration, force)
Distance vs Displacement
Distance: total path length travelled (scalar)
Displacement: straight-line distance from start to finish, with direction (vector)
Speed vs Velocity
Speed = Distance ÷ Time | Velocity = Displacement ÷ Time
Speed is a scalar; velocity is a vector (it includes direction).
Units
Speed/Velocity: metres per second (m/s) or km/h
Conversion: 1 m/s = 3.6 km/h
Worked Example
A car travels 120 km in 2 hours.
Speed = 120 ÷ 2 = 60 km/h
Acceleration
Acceleration = (Final velocity − Initial velocity) ÷ Time
a = (v − u) / t
a = (v − u) / t
Unit: m/s² (metres per second squared)
A positive acceleration means speeding up; negative acceleration (deceleration) means slowing down.