Relative speed of flying bird?

In summary, the man's speed is 120m/h and the angle of the bird's flight with the ground is 60 degrees. By using the tangent function and the Pythagorean theorem, it can be determined that the bird's speed is approximately 240m/h.
  • #1
shehri
30
0

Homework Statement


speed of man=120m/h
angle of bird flight with ground=60 degrees.

Homework Equations


A man on the ground sees a bird flying at angle of 60 degrees with horizontal.He started running at 120m/hour,is able to stay directly below the bird.What's bird speed?

The Attempt at a Solution



I've vainly tried to solve it by using vectors.But I'm uncertain how it'd be solved?
 
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  • #2
draw a triangle. the base is 120 for the man. if they are moving to the right, the angle is 60 upward to the right. the tangent of that angle is tan 60 = x/120. Therefore the equation is 120 tan 60 = x = 120 radical 3. then do Pythagorean theorem to find the hypotenuse (or flight of the bird) is 240.
( if you know the way 30-60-90 triangles work, you wouldn't need all that work)
 
  • #3
Thanks for nice help.U've pointed me in the right direction.
 

What is the relative speed of a flying bird?

The relative speed of a flying bird can vary depending on the species, weather conditions, and other factors. Typically, birds can fly at speeds ranging from 20-60 miles per hour. However, some birds, such as peregrine falcons, can reach speeds of over 200 miles per hour when diving for prey.

How does a bird's size and shape affect its relative speed?

A bird's size and shape can greatly impact its relative speed while flying. Generally, smaller and more streamlined birds, such as falcons and swallows, are able to fly faster due to their ability to reduce drag. Larger birds, such as eagles and vultures, may have a lower relative speed due to their larger size and heavier build.

Can a bird fly faster than an airplane?

While some birds, such as peregrine falcons, can reach high speeds while diving, they are not able to sustain these speeds for long periods of time. Therefore, a bird cannot fly faster than an airplane, which can maintain high speeds for extended periods of time.

How does wind affect a bird's relative speed?

Wind can have a significant impact on a bird's relative speed. A strong tailwind can increase a bird's speed while flying, while a headwind can slow it down. Birds also use wind currents and thermals to conserve energy and increase their speed while flying long distances.

Are there any factors that can affect a bird's relative speed besides its physical characteristics?

Yes, there are other factors that can affect a bird's relative speed. For example, a bird's age, health, and level of fatigue can all impact its flying speed. Environmental factors such as air temperature and humidity can also affect a bird's relative speed. Additionally, the presence of predators or other threats can cause a bird to fly faster in order to escape.

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