A runner is jogging in a straight line at a steady v, 3.5 km/hr. When the runner is L= 3.1 km from the finish line, a bird begins flying straight from the runner to the finish line at v= 17.5 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. finish line 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.

A runner is jogging in a straight line at a steady v 35 kmhr When the runner is L 31 km from the finish line a bird begins flying straight from the runner to th class=

Respuesta :

The cumulative distance traveled by the bird is determined as 2.63 km.

Time of motion of the bird

The time of motion of the bird can be determined from the principle of relative velocity as shown below.

(Vb + Vr)t = D

where;

  • Vb is the velocity of the bird
  • Vr is the velocity of the runner
  • t is time of motion of the bird
  • D is the distance between the bird and the runner

(3.5 + 17.5)t = 3.1

21t = 3.1

t = 3.1/21

t = 0.15 hr

Cumulative distance traveled by the bird

D = vt

D = 17.5 km/hr x 0.15 hr

D = 2.63 km

Thus, the cumulative distance traveled by the bird is determined as 2.63 km.

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