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The girl’s strategy is to run each lap with the same speed. A boy is going to run the first lap slower so he can run the final lap faster. Suppose that the girl’s speed is x m/s for both laps and the boy’s speed for the first lap is (x − 2) m/s, and for the second lap is (x + 2) m/s. Decide who will win and justify your response. If you need help, try using real numbers for the speeds. 6. K/U By what factor does velocity change if the time interval is increased by a factor of 3 and the displacement is decreased by a factor of two?

Reconstruct the graph on a piece of graph paper. 3. Describe the relationship among the five 2. 0 s. velocities that you calculated. 4. Evaluate, in detail, the process you just performed. From your evaluation, propose a method for determining the velocity of an object at one specific time, rather than an average between two time points. 5. Using your method, determine the velocity the following pairs of points. 5 s Describing Motion • MHR 53 Think It Through • Describe circumstances in which the average velocity of a segment of a trip is very close to the reading you would see on the speedometer of a car.

In diagram B, she changes her position by an equal amount during each time period, and therefore she is travelling at a constant speed. In diagram C, she is changing her position by an increasing amount in each time interval, and therefore she is speeding up. In diagram D, she is changing her position by a decreasing amount, and therefore is slowing down. 3 Stick diagrams illustrating the position of a sprinter after five equal time intervals A B C D A diagram of the composite picture of the sprinter in motion can be made even simpler by considering a single point on her waist.

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McGraw-Hill Ryerson. High School Physics


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