# Physics

posted by .

A hare and a tortoise compete in a race over a course 1.20 km long. The tortoise crawls straight and steadily at its maximum speed of 0.540 m/s toward the finish line. The hare runs at its maximum speed of 9.00 m/s toward the goal for 0.800 km and then stops to taunt the tortoise. How close to the goal can the hare let the tortoise approach before resuming the race, which the tortoise wins in a photo finish? Assume that, when moving, both animals move steadily at their respective maximum speeds.

• Physics -

Let X be the distance before the finish line that the tortoise can get before the hare resumes running. The hare has 400 m to go, and will require 400/9 = 44.4 s to finish. The tortoise requires
X/0.54 seconds to finish.
For a close "photo finish",
44.4 s = X/0.54 m/s
X = 24 m

## Similar Questions

1. ### Physics

A tortoise can run at a speed of 20 cm/s and a hare can run exactly 20 times as fast. In a race, they both start at the same time but the hare stops to rest for 2.00 mins. The tortoise wins by 20.0 cm. How long does the race take?
2. ### physics

A tortoise can run with a speed of 0.12 m/s, and a hare can run 20 times as fast. In a race, they both start at the same time, but the hare stops to rest for 1.0 minutes. The tortoise wins by a shell (30 cm). (a) How long does the …
3. ### physics

A hare and a tortoise compete in a race over a course 4.90 km long. The tortoise crawls straight and steadily at its maximum speed of 0.440 m/s toward the finish line. The hare runs at its maximum speed of 14.00 m/s toward the goal …
4. ### Physics

A tortoise can run with a speed of 0.13 m/s, and a hare can run 20 times as fast. In a race, they both start at the same time, but the hare stops to rest for 4.0 minutes. The tortoise wins by a shell (35 cm). (a) How long does the …
5. ### Physics

A tortoise can run with a speed of 14.0 cm/s, and a hare can run exactly 15 times as fast. In a race, they both start at the same time, but the hare stops to rest for 2.00 min. The tortoise wins by 20.0 cm. (a) How long does the race …
6. ### physics

The tortoise and the hare agree to a race. Of course, they are racing cars, having gotten tired of racing on foot. The tortoise, having just bought a new Mercedes AMG GT, allows the hare to have a running start in his Volkswagen Rabbit. …
7. ### Physics

The tortoise and the hare are in a race of 1000m distance. The tortoise travels the entire race at a speed of 2.0 m/s while the rabbit runs the first 200 m @ 2.0 m/s. Then he stops to take nap for 1.3 hrs and awakens to finish the …
8. ### physics

A tortoise and a hare are having a 1000-meter race. The tortoise runs the race at a constant speed of 2.30 cm/s. The hare moves at an average speed of 1.50 m/s for 10.0 minutes and then decides to take a nap. After waking up from the …
9. ### math

A tortoise and a hare race against each other. A hare runs at a constant speed of 36 km per hour for exactly ten seconds and waits for the tortoise to catch up. If the tortoise takes two hours to move 1 km, how long will it take to …
10. ### Math

A tortoise and a hare race against each other. A hare runs at a constant speed of 36 km per hour for exactly ten seconds and waits for the tortoise to catch up. If the tortoise takes two hours to move 1 km, how long will it take to …

More Similar Questions