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PHYS 3 PROBSET 1: KINEMATICS 1. Alex went for a walk one day. He walked north 6.0 km at 6.0 km/h and then west 10 km at 5.0 km/hr. Determine a.) the total distance of the entire trip, b.) the total displacement of the entire trip, c.) the average speed of the entire trip, d.) the average velocity of the entire trip, and e.) the average acceleration of the entire trip. 2. A physics professor leaves her house and walks along the sidewalk toward campus. After 5 min it starts to rain and she returns home. Her distance from her house as a function of time is shown in the figure. At which of the labeled points is her velocity (a) zero? (b) constant and positive? (c) constant and negative? (d) increasing in magnitude? (e) decreasing in magnitude? 3. The table shows test data for the Bugatti Veyron, the fastest car made. The car is moving in a straight line (the x-axis). (a) Make a v x -t graph of this car's velocity (in mi/h) as a function of time. Is its acceleration constant? (b) Calculate the car's average acceleration (in m/s 2 ) between (i) 0 and 2.1 s; (ii) 2.1 sand 20.0 s; (iii) 20.0 s and 53 s. Are these results consistent with your graph in part (a)? (Before you decide to buy this car, it might be helpful to know that only 300 will be built, it runs out of gas in 12 minutes at top speed, and it costs $1.25 million!). 4. The driver of a car slams on the brakes when he sees a tree blocking the road. The car slows uniformly with an acceleration of -5.60 m/s 2 for 4.20 s, making straight skid marks 62.4 m long ending at the tree. With what speed does the car then strike the tree?
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