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43_Physics ProblemsTechnical Physics

43_Physics ProblemsTechnical Physics - 44 P2.56 Motion in...

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44 Motion in One Dimension P2.56 a dv dt v = = 3 00 2 . , v i = 1 50 . m s Solving for v , dv dt v = 3 00 2 . v dv dt v v t t v v v v v t t i i i = = z z = − + = − = 2 0 3 00 1 1 3 00 3 00 1 1 . . . . or When v v i = 2 , t v i = = 1 3 00 0 222 . . s . Additional Problems *P2.57 The distance the car travels at constant velocity, v 0 , during the reaction time is x v t r a f 1 0 = . The time for the car to come to rest, from initial velocity v 0 , after the brakes are applied is t v v a v a v a f i 2 0 0 0 = = = and the distance traveled during this braking period is x vt v v t v v a v a f i a f 2 2 2 0 0 0 2 2 0 2 2 = = + F H G I K J = + F H G I K J F H G I K J = − . Thus, the total distance traveled before coming to a stop is s x x v t v a r stop = + = a f a f 1 2 0 0 2 2 . *P2.58 (a) If a car is a distance s v t v a r stop = 0 0 2 2 (See the solution to Problem 2.57) from the intersection of length s i when the light turns yellow, the distance the car must travel before the light turns red is x s
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