19_Dynamics 11ed Manual - Engineering Mechanics - Dynamics...

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Engineering Mechanics - Dynamics Chapter 12 dd 2 vt 3 t 2 () + 1 2 at 3 t 2 2 = 0 va t 3 t 2 = t 1 t 2 t 3 d 1 d 2 Find t 1 t 2 , t 3 , d 1 , d 2 , = t 1 t 2 t 3 12 20 32 s = d 1 d 2 360 840 m = t 3 32 s = Problem 12-31 Determine the time required for a car to travel a distance d along a road if the car starts from rest, reaches a maximum speed at some intermediate point, and then stops at the end of the road. The car can accelerate at a 1 and decelerate at a 2 . Given: d 1km = a 1 1.5 m s 2 = a 2 2 m s 2 = Let t 1 be the time at which it stops accelerating and t the total time. Solution: Guesses t 1 1s = d 1 1m = t 3s = v 1 1 m s = Given d 1 a 1 2 t 1 2 = v 1 a 1 t 1 = v 1 a 2 tt 1 = 1 v 1 1 + 1
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