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University Physics with Modern Physics
A proton is projected into a uniform electric field that points vertically upward and has magnitude $E$. The initial velocity of the proton has a magnitude $v_0$ and is directed at an angle $\alpha$ below the horizontal. (a) Find the maximum distance $h_{max}$ that the proton descends vertically below its initial elevation. Ignore gravitational forces. (b) After what horizontal distance d does the proton return to its original elevation? (c) Sketch the trajectory of the proton. (d) Find the numerical values of $h_{max}$ and $d$ if $E =$ 500 N$/$C, $v_0 =$ 4.00 $\times 10^5$ m$/$s, and $\alpha =$ 30.0$^\circ$.