Problem 1.15 - Problem 1.15 [Difficulty: 5] 2 Given: M = 70...

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Problem 1.15 [Difficulty: 5] Given: Data on sky diver: M7 0 k g = k vert 0.25 Ns 2 m 2 = k horiz 0.05 2 m 2 = U 0 70 m s = Find: Plot of trajectory. Solution: Use given data; integrate equation of motion by separating variables. Treat the sky diver as a system; apply Newton's 2nd law in horizontal and vertical directions: Vertical: Newton's 2nd law for the sky diver (mass M) is (ignoring buoyancy effects): M dV dt Mg k vert V 2 = (1) For V ( t ) we need to integrate (1) with respect to t : Separating variables and integrating: 0 V V V k vert V 2 d 0 t t 1 d = so t 1 2 M k vert g ln k vert V + k vert V = Rearranging o r Vt () k vert e 2 k vert g M t 1 e 2 k vert g M t 1 + = so k vert tanh k vert g M t = For y ( t ) we need to integrate again: dy dt V = or yt V d = 0 t t d = 0 t t k vert
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Problem 1.15 - Problem 1.15 [Difficulty: 5] 2 Given: M = 70...

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