2. A ball is thrown vertically upward so that its velocity at time t is v(t) = -9.8t + 19.6 meters per second. After 1 second, the ball is at a height of 114.5 meters. (a) Find s(t), the position of the ball at time t. [Make sure to find the value for for C so that your final expression for s(t) only involves t. (b) What is the initial height of the ball? [Find when (c) When does the ball reach its maximum height? [Find when .] (d) What is the maximum height reached by the ball? [Find when

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