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33_Physics ProblemsTechnical Physics

33_Physics ProblemsTechnical Physics - 34 P2.32 Motion in...

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34 Motion in One Dimension P2.32 (a) The time it takes the truck to reach 20 0 . m s is found from v v at f i = + . Solving for t yields t v v a f i = = = 20 0 0 2 00 10 0 . . . m s m s m s s 2 . The total time is thus 10 0 20 0 5 00 35 0 . . . . s s s s + + = . (b) The average velocity is the total distance traveled divided by the total time taken. The distance traveled during the first 10.0 s is x vt 1 0 20 0 2 10 0 100 = = + F H G I K J ( )= . . m. With a being 0 for this interval, the distance traveled during the next 20.0 s is x v t at i 2 2 1 2 20 0 20 0 0 400 = + =( )( )+ = . . m. The distance traveled in the last 5.00 s is x vt 3 20 0 0 2 5 00 50 0 = = + F H G I K J ( )= . . . m. The total distance x x x x = + + = + + = 1 2 3 100 400 50 550 m, and the average velocity is given by
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