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(Target E1) An alpha particle is two protons and two neutrons bound together (it is the nucleusof a helium atom). Consider an alpha particle released from rest in a region of space with anelectric field \vec{E}(t)=E_{0}\left(\frac{t}{\tau}\right) \hat{\imath}+E_{0}\left(\frac{t}{\tau}\right)^{2} \hat{\jmath} where Eo = 0.5 kN/C, and 7 = 500 ms. The alpha particle is released at time t = 0. After traveling a horizontal distance Ar=0.75 m, how far vertically has the alpha particle traveled?

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