Question

A runner is jogging at a steady 2.3 km/hr. When the runner is 2.6 km from the finish line, a bird begins flying from the runner to the finish line at 13.8 km/hr (6 times as fast as the runner). When the bird reaches the finish line, it turns around and flies back to the runner. L vb vr 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.

Answer 1

Jogger is running at speed 2.3 km/h

His distance from the finishing line is 2.6 km

now the time taken by the jogger to reach the finish line is given as

`t = (d)/(v)`

`t = (2.6)/(2.3)`

`t = 1.13 h`

now in the same time the bird will move to and fro from jogger to finishing line continuously

so the total distance moved by the bird is given as

`d = speed * time`

`d = 13.8 * 1.13`

`d = 15.6 km`

so the bird will travel total distance 15.6 km in total time of motion