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Starting with the kinematics equation x = vot + ½ at^2, derive an expression relating the acceleration and initial velocity of an object to two paired position and time measurements. In other words, if an object's position is x1 at t1, find the acceleration a and the initial velocity vo in terms of x1, t2, x2, and t2. The derivation involves solving a system of two equations and two unknowns.

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