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🔢 Speed Formula

  • Speed is measured in metres per second (m/s) or kilometres per hour (km/h)
  • Distance is measured in metres (m) or kilometres (km)
  • Time is measured in seconds (s) or hours (h)

🧠 Key Terms

Term Definition
Speed How fast something moves
Distance How far something travels
Time How long it takes to travel that distance
Average Speed Total distance ÷ total time
Instantaneous Speed Speed at one specific moment

📏 Units Table

Quantity Symbol Units (common)
Distance 𝑑 metres (m), km
Time 𝑡 seconds (s), hours
Speed 𝑠 m/s, km/h

🧮 Example 1

A car travels 100 km in 2 hours. What is its speed?


🧮 Example 2

A rabbit runs 80 metres in 10 seconds. What is its speed?


🧰 Converting Units

  • 1 km = 1000 m
  • 1 hour = 3600 seconds

📊 Graphs of Speed

Distance–Time Graph

  1. straight diagonal line means Steady speed
  2. horizontal line = stopped
  3. Curved line getting steeper = Acceleration = Increasing speed
  4. Curved line flattening out = Deceleration = Decreasing speed
  5. straight diagonal line in other direction means Steady speed – returning to the point where started
Number Graph Segment Description Motion Type
1 Straight diagonal line (upwards) Steady speed
2 Horizontal line Stationary (stopped)
3 Curved line getting steeper Acceleration (increasing speed)
4 Curved line flattening out Deceleration (decreasing speed)
5 Straight diagonal line (downwards) Steady speed (returning to start)

🎯 Practice Questions

  1. A cyclist covers 45 km in 3 hours. What is their speed?
  2. A cheetah runs 120 m in 6 seconds. What is its speed?
  3. Convert 90 km/h to m/s.
  4. Convert 15 m/s to km/h.
  5. A graph shows a straight line from (0, 0) to (5, 25). What is the speed?

🧠 Quick Check

  • ✅ Speed is distance ÷ time
  • ✅ Units must match
  • ✅ Use graphs to visualise motion