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85_Dynamics 11ed Manual - Engineering Mechanics Dynamics...

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Engineering Mechanics - Dynamics Chapter 12 Problem 12-114 The automobile is originally at rest at s = 0. If it then starts to increase its speed at d v /d t = bt 2 , determine the magnitudes of its velocity and acceleration at s = s 1 . Given: d 300 ft = ρ 240 ft = b 0.05 ft s 4 = s 1 550 ft = Solution: a t bt 2 = v b 3 t 3 = s b 12 t 4 = t 1 12 s 1 b 1 4 = t 1 19.061 s = v 1 b 3 t 1 3 = v 1 115.4 ft s = If s 1 550ft = > d 300ft = the car is on the curved path a t 1 2 = v b 3 t 1 3 = a n v 2 = aa t 2 a n 2 + = a 58.404 ft s 2 = If s 1 = < d = the car is on the straight path a t 1 2 = a n 0 ft s
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