The peregrine falcon is the fastest bird flying at a speed of 200mi/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 it swing into its sides and begins to drop in free fall. how far will the bird fall vertically while traveling horizontally a distance of100 m

To start with thing you have to do is change over 200 miles for each hour (mi/h) to meters every second (m/s). At that point draw an outline demonstrating the level and vertical parts of the free fall. Flat being ( 200 mi/h changed over to m/s ) and the vertical part being gravity ( - 9.8 m/s ). Utilize a kinematics condition to discover the time it takes to travel 120 m on a level plane and apply that opportunity to the vertical segment to discover its separation.
At a horizontal top speed of 200 mph, the time it will take the falcon to travel a horizontal distance of 80 m would be
T = 80/(200 * 0.44704)
NOTE the factor "0.44704" converts "mi/hour" to "m/sec"
T = 0.895 sec.
Next working formula is
Y = Vy(T) + (1/2)gT^2
where
Y = vertical distance that the bird will makeVy = vertical component of the bird's velocity = 0T = time interval = 0.895 sec (as calculated above)g = acceleration due to gravity = 9.8 m/sec^2
Substituting values,
Y = 0 + (1/2)(9.8)(0.895)^2
Y = 3.92 meters