s-t
Distance - Time Graph ($s-t$)
Plots the distance from a fixed origin against time.
Gradient: $\frac{\Delta s}{\Delta t} = \text{Speed (Laju)}$
Horizontal Line (Gradient = 0): Stationary / At rest (Pegun).
Negative Gradient: Moving back towards the starting point.
Average Speed: $\frac{\text{Total Distance}}{\text{Total Time}}$
v-t
Speed - Time Graph ($v-t$)
Plots instantaneous speed against time.
Gradient: $\frac{\Delta v}{\Delta t} = \text{Acceleration (Pecutan)}$
Negative Gradient: Deceleration (Nyahpecutan).
Horizontal Line: Uniform / constant speed (Pecutan = 0).
Area Under Graph = Total Distance Travelled (Jarak Dilalui)!
Area Under Graph Geometry Cheat Sheet
Triangle:
$$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$$
$$\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}$$
Trapezium:
$$\text{Area} = \frac{1}{2}(a + b) \times h$$
$$\text{Area} = \frac{1}{2}(a + b) \times h$$
Rectangle:
$$\text{Area} = \text{length} \times \text{width}$$
$$\text{Area} = \text{length} \times \text{width}$$