Explain the question

Jared challenged his brother Chris to a 50 meter race. Chris declined the challenge because Jared

is three years older than him and definitely a faster runner. Jared agreed to even the odds by

letting Chris start 10 meters ahead of him. At the starting signal the two brothers took off, with

each running at a constant speed. The race ended in a tie

.

Sketch a position vs. time graph showing the motions of both brothers on the same graph.

If Jared’s constant speed was 5 m/s, what must have been Chris’ speed? Can you answer this

question by using logical reasoning and not by solving the equations for Chris’ speed directly

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Dissatisfied with a tie, Jared challenges Chris to a second race. This time, instead of giving

Chris a 10 meter lead, he is going to give him a 3 second head start.

Assuming Chris and Jared run with the same constant speeds as in the previous situation, who

will win the race now? Can you figure out the answer without actually solving the equations for

the time it takes each brother to reach the finish line?

Now sketch a position vs. time graph showing the motions of both brothers on the same graph

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