$1.$ Design and conduct a $$home experiment$$ to measure the restitution coefficient of an object using

particle tracking velocimetry. Marks will be awarded for:

$$ a sensible choice of object, background and surface

$$ a sensible experimental set$-$up $($lighting$,$ filming angle, size reference etc.$)$

$$ a well$-$chosen set of experiments to perform $($chosen drop height$($s$),$ number of repeats etc.$)$

$$ use of suitable image processing methods

$$ the generality of the code $($could it be easily applied to another data set, or is it specific to your

data?$)$

$$ The method used to calculate the restitution coefficient from your data $($what are your assump

tions?$)$

$$ Use of any advanced analysis techniques $($e$.$g$.$ optimisation$)$

$$ Meaningful discussion regarding the accuracy and meaningfulness of your results, with reference

to relevant literature

Make sure all these points are explicitly addressed in your text $($e$.$g$.$we chose to use a ping pong

ball bouncing against a black wall as it provided strong contrast...$)$

$2.$ Bonus work: Develop an empirical model and a calibrated DEM model $($hint: you can use your work

from Portfolio $1$ as a starting point!$)$ describing your object$$s motion. Plot the trajectories achieved

from all methods on a single graph, and provide detailed analysis of any discrepancies observed, with

reference to relevant literature.