Part one was answered, thank you. This was Part one:A runner is jogging at a steady 6.2 km/hr. When the runner is 4.9 km from the finish line, a bird begins flying from the runner to the finish line at 24.8 km/hr (4 times as fast as the runner). When the bird reaches the finish line, it turns around and flies back to the runner.
valencia (jmv2734) – Position and Velocity – widbin – (20156)8
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finish line
How far does the bird travel? Even though the bird is a dodo, assume that it occupies only one point in space (a “zero” length bird) and that it can turn without loss of speed. Answer in units of km.
THIS IS PART 2 of 2)
After this first encounter, the bird then turns around and flies from the runner back to the finish line, turns around again and flies back to the runner. The bird repeats the back and forth trips until the runner reaches the finish line.
How far does the bird travel from the be-ginning (including the distance traveled to the first encounter)?
Answer in units of km.
Val/Elsa/Joseph -- you must be having an identity crisis!
Please use the same name for your posts.
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To find the total distance traveled by the bird in both directions (from the beginning to the first encounter and back), you can follow these steps:
1. Calculate the time it takes for the runner to reach the finish line:
- Distance = 4.9 km (distance from the runner to the finish line)
- Speed = 6.2 km/hr
- Time = Distance / Speed = 4.9 km / 6.2 km/hr = 0.79 hr
2. Calculate the distance the bird travels from the runner to the finish line:
- Speed of the bird = 24.8 km/hr (4 times the speed of the runner)
- Time taken by the bird to reach the finish line = 0.79 hr
- Distance traveled by the bird = Speed of the bird * Time taken = 24.8 km/hr * 0.79 hr = 19.57 km
3. Calculate the total distance the bird travels on the return journey:
- The bird travels the same distance back from the finish line to the runner.
- Therefore, the total distance traveled by the bird (including both directions) is 2 * 19.57 km = 39.14 km.
So, the bird travels a total distance of 39.14 km from the beginning (including the distance traveled to the first encounter).