2-D motion Answers - Physics 125 Discussion#2 Solution...

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Physics 125 Discussion #2 Solution 1 Problem 1: One-Dimensional Motion A car accelerates uniformly in one dimension from 5 m/s to 30 m/s in 10 s. (1) First, define your coordinate system. Let’s define the direction of the motion to be “+”. (2) Write out the know factors: Initial velocity, = 0 v harpoonrightnosp +5 m/s Final velocity, = v harpoonrightnosp +30 m/s Time interval, Δ t = 10 s (3) What is the car’s acceleration? 2 0 0 m/s 5 . 2 s 10 m/s) 5 ( m/s) 30 ( + = + - + = - - = t t v v a harpoonrightnosp harpoonrightnosp (4) What is the car’s average velocity for this time interval? [ ] m/s 5 . 17 m/s) 5 ( m/s) 30 ( 2 1 ) ( 2 1 0 + = + + + = + = v v v harpoonrightnosp harpoonrightnosp (5) How far does the car travel during this time? m 175 ) m/s 5 . 2 ( 2 m/s) 5 ( m/s) 30 ( 2 2 2 2 2 2 0 2 2 0 2 = × - = - = + = a v v x ax v v

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Physics 125 Discussion #2 Solution 2 Problem 2: Two Bodies with Different Accelerations A motorist traveling with constant velocity of 15 m/s (about 34 mph) passes a school- crossing corner, where the speed limit is 10 m/s (about 22 mph). Just as the motorist
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