Homework Statement
A proton of charge +e and mass mp enters a uniform magnetic field B =B\hat{i}with an initial velocity Vi = vix\hat{i}+ viy\hat{j}.
Without assuming any circular motion, show that its veloc-
ity v at any later time t is given by
v(t) = vix\hat{i}+ viy cos(eBt/mp)\hat{j}-viy...