Question: which is a constant. We thus make the ansatz (educated guess) that we may describe the equation of motion as y(t) = at2 + bt

which is a constant. We thus make the ansatz (educated guess) that we may describe the equation of motion as y(t) = at2 + bt + c for which we then need to determine the coefficients a, b, c R. Equation (40) implies that y 00(t) = 2a = g so that a = g/2. The other coefficients are determined by the two pieces of information that we have yet to use: the initial height and initial velocity. The initial velocity (at time t = 0) is v0 which means tha

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