Question

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

Answer 1

Using the principles of free fall and the known speed of the peregrine falcon, it is determined that the falcon will fall approximately 6.16 m while traveling horizontally over a distance of 100 m.

Step-by-step explanation:

To calculate how far a peregrine falcon will fall vertically while traveling horizontally a distance of 100 m, we can use the physics of free fall under the acceleration due to gravity. The time taken by the falcon to cover 100 m horizontally at a speed of 200 mi/h (which is approximately 89.41 m/s) can be found using the equation: time = distance / speed.

We first convert the falcon's speed to meters per second by multiplying by a conversion factor: 200 mi/h * 1.60934 (km/mi) * 1000 (m/km) / 3600 (s/h) = 89.41 m/s.

Next, we calculate the time, t = 100 m / 89.41 m/s ≈ 1.119 seconds.

Now, we apply the free fall equation, d = 0.5 * g * t^2, where g is the acceleration due to gravity (9.81 m/s^2): d = 0.5 * 9.81 m/s^2 * (1.119 s)^2 ≈ 6.16 m.

Therefore, the peregrine falcon will fall approximately 6.16 m vertically while traveling 100 m horizontally.

Answer 2

nice

Step-by-step explanation: