Hi I have two questions 1- A hare and a tortoise compete in a race over a straig
ID: 2112412 • Letter: H
Question
Hi I have two questions1- A hare and a tortoise compete in a race over a straight course 1.20 km long. The tortoise crawls at a speed of 0.300 m/s toward the finish line. The hare runs at a speed of 8.85 m/s toward the finish line for 0.960 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 8.85 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?
m
(b) For how long in time was the hare stationary?
s
2- The speed of a nerve impulse in the human body is about 100 m/s. If you accidentally stub you toe in the dark, estimate the time it takes the nerve impulse to travel to your brain. (Assume that you are approximately 1.8 m tall and that the nerve impulse travels at uniform speed.) s Hi I have two questions
1- A hare and a tortoise compete in a race over a straight course 1.20 km long. The tortoise crawls at a speed of 0.300 m/s toward the finish line. The hare runs at a speed of 8.85 m/s toward the finish line for 0.960 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 8.85 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?
m
(b) For how long in time was the hare stationary?
s
2- The speed of a nerve impulse in the human body is about 100 m/s. If you accidentally stub you toe in the dark, estimate the time it takes the nerve impulse to travel to your brain. (Assume that you are approximately 1.8 m tall and that the nerve impulse travels at uniform speed.) s Hi I have two questions
1- A hare and a tortoise compete in a race over a straight course 1.20 km long. The tortoise crawls at a speed of 0.300 m/s toward the finish line. The hare runs at a speed of 8.85 m/s toward the finish line for 0.960 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 8.85 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?
m
(b) For how long in time was the hare stationary?
s
2- The speed of a nerve impulse in the human body is about 100 m/s. If you accidentally stub you toe in the dark, estimate the time it takes the nerve impulse to travel to your brain. (Assume that you are approximately 1.8 m tall and that the nerve impulse travels at uniform speed.)
Explanation / Answer
t = (1.20-0.96)*1000/8.85 = 27.11864406779661 sec
thus d = s*t = .3*27.11864406779661 = 8.13559322 m answer (a)
t' = 0.96*1000/8.85 = 108.47457627118644 sec
d' = 0.3*108.47457627118644= 32.542372881355932 m
thus distance travelled by tortoise in the gap = (1.2*1000)-8.13559322 - 32.542372881355932 =1159.322033898644068 m
thus time = 1159.322033898644068/0.3 = 3864.4067796621469 sec
2) 1.8/100 = 0.018 sec