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1. A proton travels directly (head on) towards a stationary lead nucleus, with an initial speed vo, when the proton is a distance xo from the nucleus. It undergoes an acceler- ation of magnitude a k directed away from the nucleus, where is the distance from the proton to the nucleus and k is a positive constant. (Assume the lead nucleus remains stationary throughout.) (a) Give an expression for how the velocity of the proton depends on r. (It will also depend on k, vo, and zo.) (b) Find an expression for the distance of closest approach of the proton to the nu- cleus.

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