A runner is jogging at a steady 5.2 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 26 km/hr (5 times as fast as the runner). When the bird reaches the finish line, it turns around and flies back to the runner.

Q1: 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 in speed. Answer in units of km.

1 answer

To find the distance the bird travels, we need to determine how long it takes for the bird to reach the finish line.

The time it takes for the bird to reach the finish line is equal to the distance between the runner and the finish line divided by the bird's speed.

Distance = 4.9 km
Speed = 26 km/hr

Time = Distance / Speed
Time = 4.9 km / 26 km/hr
Time = 0.18846153846 hr

Now, we can find the distance the bird travels by multiplying the time by the bird's speed:

Distance = Time * Speed
Distance = 0.18846153846 hr * 26 km/hr
Distance = 4.89230769231 km

Therefore, the bird travels approximately 4.892 km.
Similar Questions
    1. answers icon 2 answers
  1. A runner is jogging in a straight line at asteady vr= 8.2 km/hr. When the runner is L= 4.4 km from the finish line, a bird
    1. answers icon 0 answers
  2. A runner is jogging at a steady 8.4 km/hr.When the runner is 2.6 km from the finish line, a bird begins flying from the runner
    1. answers icon 1 answer
  3. A runner is jogging at a steady 1 km/hr.When the runner is 0.88 km from the finish line a bird begins flying from the runner to
    1. answers icon 1 answer
more similar questions