Menu div.question,div.steps {font-size: 16px; padding: 10px;line-height: 20px; margin: 20px;} div.question{border: 1px solid #ccc;} div#solution .button{font-size: 20px; margin: 20px; width: 200px; padding: 10px; text-align: center;} div.hint,div.answer,div.steps{display: none;} div.pre_next{font-size: 30px; width:90%; margin:auto;} div.pre_next a.nav_pre{float:left;} div.pre_next a.nav_next{float:right;} div.title div.notes{ font-family:sans-serif, Arial; font-size: 18px; } 5. A hare and a tortoise compete in a race over a straight course 1.00 km long. The tortoise crawls at a speed of 0.200 m//s toward the finish line. The hare runs at a speed of 8.00 m//s toward the finish line for 0.800 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 8.00 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? (b) For how long in time was the hare stationary? Hint Answer (a) 5.00 m (b) 4875 s Show Steps Givens: Distance: D = 1.00 km Speet of Tortuoise v_t = 0.200 m//s Speet of hare v_h = 8.00 m//s Hare stops at 0.800 km or 0.200 km to the finish line. (a) Let d is the distance where the tortoise from the finish line when the hare resumes the race. and both the hare and the tortoise cross the finish line at the exact same instant. We get: d/(0.200 m//s) = (0.200 times 10^3 m)/(8.00 m//s) d = (200 m)/(8.00 m//s) (0.200 m//s) = color(red)(5.00m) (b) Let t was the hare stationary. We get: (1.00 times 10^3 m)/(8.00 m/s) + t = (1.00 times 10^3 m)/(0.200 m/s)  t = (1.00 times 10^3 m)/(0.200 m/s) - (1.00 times 10^3 m)/(8.00 m/s) = (5000 s) - (125 s) = color(red)(4875s)