6. A hare and a tortoise compete in a race over a straight course 1.00km long. T

Question

6. A hare and a tortoise compete in a race over a straight course 1.00km long. The tortoise crawls at a speed of 0.200m/s toward the finish line. The hare runs at a speed of 8.00m/s toward the finish line for 0.750km, and then stops to tease the slow-moving tortoise as the tortoise eventually passes by. The hare waits for a while after the tortoise passes and then runs toward the finish line again at 8.00m/s. Both the hare and the tortoise cross the finish line at the exact same instant. Assume both animals, when moving move steadily at their respective speeds • How far is the tortoise from the finish line when the hare resumes the race? • FOr how long in time was the hare stationary?

Explanation / Answer

B) Tortoise moving at a steady 0.2 m/s over a 1,000 m course.

So, It takes him 1,000m/0.2m/s = 5000 seconds.

So the time took If the hare ran without stopping, 1000/8 = 125 seconds.

The difference should be the time the hare stopped or 5000- 125 = 4875 seconds.

A)

The hare runs at 8 m/s sec for 0.75 km or 750 m. That takes the hare 750/8 = 93.75 seconds.

The hare waits for 5000 seconds. That means that the hare has spent 93.75 + 5000 = 5093.75 seconds before he starts up again.

Since the tortoise streaks along at 0.2 m/s, he has traveled 0.20 m/s x 5093.75 sec = 1018.75 m when the hare starts up. That means he is 1,000 - 1018.75 = 18.75 m

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