Graphical Analysis of Motion

TopicDetails
Distance-Time Graph
Horizontal AxisTime (t)
Vertical AxisDistance (s)
Gradient FormulaGradient = Δs / Δt (Speed)
Example 2.5
From Peshawar to Rest Area100 km / 1 hr = 100 km/hr = 27.78 m/s
From Rest Area to Islamabad75 km / 1.5 hr = 50 km/hr = 13.89 m/s
Total Distance175 km / 2.5 hr = 70 km/hr = 19.44 m/s
Speed-Time Graph
Horizontal AxisTime (t)
Vertical AxisSpeed (v)
Slope FormulaSlope = Δv / Δt (Acceleration)
Area Under GraphDistance Traveled
Example 2.6
Acceleration (0-20 s)1.5 m/s²
Acceleration (20-50 s)0 m/s²
Acceleration (50-60 s)-3 m/s²
Total Distance1350 m
Average Speed22.5 m/s
PlantUML Diagram