Suppose that a crossbow bolt is shot straight upward with

Chapter , Problem 13

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Suppose that a crossbow bolt is shot straight upward with initial velocity 288 ft=s. If its deceleration due to air resistance is .0:04/v, then its height x.t / satisfies the initial value problem x00 D 32 .0:04/x0 I x.0/ D 0; x0 .0/ D 288: Find the maximum height that the bolt attains and the time required for it to reach this height.

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