A hare and a tortoise compete in a race over a straight course 2.05 km long. The

Question

A hare and a tortoise compete in a race over a straight course 2.05 km long. The tortoise crawls at a speed of 0.290 m/s toward the finish line. The hare runs at a speed of 8.90 m/s toward the finish line for 1.640 km 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 8.90 m/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.

(a) How far is the tortoise from the finish line when the hare resumes the race?

6· 1/2 points ! Previous Answers SerPSE9 2.P011 My Notes Ask Your Teacher A hare and a tortoise compete in a race over a straight course 2.05 km long. The tortoise crawls at a speed of 0.290 m/s toward the finish line. The hare runs at a speed of 8.90 m/s toward the finish line for 1.640 km 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 8.90 m/s. Both the hare and the tortoise cross thefiis lne at the exact same instant. Assume both animals, when moving, move steadily at their respective speeds (a) How far is the tortoise from the finish line when the hare resumes the race? Your response differs from the correct answer by more than 100%, m (b) For how long in time was the hare stationary? 6838.6288 S Need Help? Read Need Help?Read It

Explanation / Answer

For Hare:

for 1.640 km,

t1 = 1640 m / 8.90 m/s = 184.27 s

then it rest for t2 and then completes race in next t3.

t3 = (2050- 1640) / 8.90 = 46.07 sec  

so hare resumes race 46.07 sec before finish time.

in this time distance travellled by tortoise.

d = (0.290)(46.07) = 13.5 m .......Ans

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