The peregrine falcon (see figure) is the fastest bird, flying at a speed of 200

Question

The peregrine falcon (see figure) is the fastest bird, flying at a speed of 200 mi/h. Nature has adapted the bird to reach such a speed by placing baffles in its nose to prevent air from rushing in and slowing it down. Also, the bird's eyes adjust their focus faster than the eyes of any other creature, so the falcon can focus quickly on its prey. Assume that a peregrine falcon is moving horizontally at its top speed at a height of 100 m above the ground when it brings its wings into its sides and begins to drop in free fall. How far will the bird fall vertically while traveling horizontally a distance of 98 m?

Explanation / Answer

find the velocity of travelling horizontally. convert 1 mi/h to m/s = 0.447 m/s v = 200 * 0.447 = 89.4 m/s time required to travel 110m time = 110/89.4 = 1.23 seconds d = final velocity + 0.5at^2 distance = 0 + 0.5(-9.8)(1.23)^2 = -7.41 m the bird fall vertically of 7.41 m.

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