# Particle going on a field trip

Electricity and Magnetism Level 3

A unit postive charge of mass 2 kg was kept on point $$(1,1)$$. At time $$t=0$$ an electric field was switched on such that potential $$V$$ at any point $$(x,y)$$ is given by: $V= {x}^{2}+y$ If the velocity with which it crosses the $$x$$-axis is in the form: $\frac { \sqrt { \left( \beta { e }^{ \gamma }-\delta \right) } }{ { e }^{ \alpha } }$ Find $$\alpha$$+$$\beta$$+$$\gamma$$+$$\delta$$.

Clarification: $$e$$ denotes Euler's number, $$e \approx 2.71828$$.

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