In today’s world where the use of e-scooters as a convenient mode of transportation is on the rise, there is a need for study on their dynamics and handling. The aim of this thesis is to develop a matlab model able to compute key components of vertical dynamics involved in the motion of an e-scooter tyre going over small obstacles on the road. The obstacle enveloping behaviour of the tyre is of importance in order to accurately portray it’s motion. Hence the first step undertaken is to develop in matlab, a program that allows one to input a given road profile and to obtain the effective road profile, by using the MF SWIFT obstacle enveloping model.