34_Physics ProblemsTechnical Physics

# 34_Physics ProblemsTechnical Physics - Chapter 2*P2.34(a c...

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Chapter 2 35 *P2.34 (a) vv a x x xf xi x f i 22 2 =+ ch : 0 01 3 10 0 2 40 8 2 . ×= + ( ) ms m a x a x = × 31 0 80 112 10 6 2 11 m 2 . (b) We must find separately the time t 1 for speeding up and the time t 2 for coasting: xx v v t t t f i xf xi −= + = × + 1 2 40 1 2 0 0 267 10 1 6 1 1 5 di ej : m m s s . v v t t t f i xf xi + 1 2 60 1 2 0 0 200 10 2 66 2 2 5 : . m s total time 467 10 5 . s . *P2.35 (a) Along the time axis of the graph shown, let i = 0 and ft m = . Then vva t xf xi x gives va t cm m 0 a v t m c m = . (b) The displacement between 0 and t m is xxv t a t v t tv t fi x i x c m mc m = + = 1 2 0 1 2 1 2 . The displacement between t m and t 0 is t a t v tt i x c m = + 1 2 0 2 0 a f . The total displacement is xv t v t v t v t t c c m =− F H G I K J 1 2 1 2 00 . (c) For constant v c and t 0 , x is minimized by maximizing t m to
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