Motion Analysis Rolling Down A Ramp

The Set-Up

Ramp Motion Analysis

Enter time (in seconds) for each 1 m section:

Average Speeds Table

section time (s) average speed (m/s) midpoint time (s)

Distance–Time Graph

Velocity–Time Graph

Acceleration–Time Graph

Understanding The Graphs

The key to understanding how these graphs were calculated is to realise that when we are determining the average speeds for each section that will be the speed that the ball has at the mid-point (in terms of time).

Also each metre is traversed in a shorter time than the previous metre as the ball is constantly accelerating.

This can clearly be seen if we shade the graph for each one-metre length – we will get something like this:

Each of the shaded areas has the same area representing the same distance travelled (i.e. one metre).

2025 Physics Lessons