Question

A runner is jogging in a straight line at a

steady vr= 5.9 km/hr. When the runner is
L= 6.6 km from the finish line, a bird begins
flying straight from the runner to the finish
line at vb= 29.5 km/hr (5 times as fast as
the runner). When the bird reaches the finish
line, it turns around and flies directly back to
the runner.
What cumulative distance does the bird
travel? Even though the bird is a dodo, assume that it occupies only one point in space
(a "zero" length bird), travels in a straight
line, and that it can turn without loss of
speed.
Answer in units of km.

Answer 1

11.88 km

Step-by-step explanation:

Given that the bird begins flying straight from the runner to the finish

line at vb= 29.5 km/hr (5 times as fast as the runner). When the bird reaches the finish line, it turns around and flies directly back to the runner.

Then the first distance covered by the bird is 6.6 km.

Since the speed of the bird is five times the speed of the man, the man must have covered the distance one - fifth of the 6.6 km. That is,

1/5 × 6.6 = 1.32

Take 1.32 away from 6.6 you will get

6.6 - 1.32 = 5.28

The cumulative distance the bird

travel will be:

Cumulative distance = 6.6 + 5.28 = 11.88km

Therefore, the cumulative distance the bird travelled is 11.88 km