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 noseto 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 focusquickly 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 itssides and begins to drop in free fall. How far will the bird fall vertically while traveling horizontally a distance of 98 m?

Answer 1

200mi/hr = 89.408m/s
y1 = 100m
d = 98m
t = ?
y2 = ?

d = Vx(t)
98 = 89.408(t)
t = 1.096s

y2 = y1 + Vy(t) + 1/2at^2
y2 = 100 + 0 + (1/2)(-9.8)(1.096)^2
y2 = 94.114 m