Describe how the experimental data can be analyzed to confirm or disconfirm the hypothesis that increasing the speed of the cart causes the system to lose a greater fraction of kinetic energy. Include a description or example of any equations, data tables, graphs, or other representations that could be used.

An electron is ejected into a horizontal uniform e⃗ field at a parallel horizontal velocity of v0. assume the electron's initial position x0, initial velocity v0, time t, magnitude of electric field e, electron's mass m, and the magnitude of the electron's charge |e|. ignore the force that earth exerts on the electron. assume the e⃗ field is in the same direction as the initial velocity. part a define the equation for the electron's velocity. express your answer in terms of the variables v0, |e|, t, e, and m.