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.

Shape

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.

design a mod 12 counter.

first, dodos do not fly.

second, dodos are extinct.

However, since time=distance/speed, if the bird flies back x km, then

(4.9+x)/24.8 = (4.9-x)/6.2
x = 2.94

So, the bird flew 7.84 km

How'd you get 7.84?

To find the distance the bird travels, we need to determine the time it takes for the bird to reach the finish line and then return to the runner.

First, let's find the time it takes for the bird to reach the finish line. We can use the formula:

Time = Distance / Speed

The distance from the runner to the finish line is 4.9 km, and the bird's speed is 24.8 km/hr. Therefore, the time taken by the bird to reach the finish line is:

Time = 4.9 km / 24.8 km/hr = 0.1976 hr (rounded to four decimal places)

Now, we know that the bird turns around and flies back to the runner at the same speed. So, the time it takes for the bird to return to the runner is also 0.1976 hr.

To find the distance the bird travels, we can use the formula:

Distance = Speed * Time

Since the bird's speed is 24.8 km/hr and the time it takes to return to the runner is 0.1976 hr, the distance the bird travels is:

Distance = 24.8 km/hr * 0.1976 hr = 4.896 km (rounded to three decimal places)

Therefore, the bird travels approximately 4.896 km.