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12 a fox locates its prey, usually a mouse, under the snow by slight sounds the rodents make. the fox then leaps straight into the air and burrows its nose into the snow to catch its next meal. in your calculations ignore the effects of air resistance.

Sagot :

Air resistance represents the forces that are in opposition to the relative motion of an object as it hands through the air. These drag forces act opposing to the oncoming flow velocity, thus delaying the object down.

What is Air resistance?

  • Air resistance is a force created by air. When an object moves through the air, the force acts in the opposite direction.
  • A lorry with a flat front will have high air resistance, whereas a sports car with a streamlined shape will have lower air resistance, allowing the car to travel faster.
  • Air resistance, also known as drag, is a type of friction (a force that opposes motion) that occurs between an object and air. It is the force that an object feels as it moves through the air.
  • The two fixed forces of nature that move on any object on Earth are air resistance and gravity.

How to calculate dismiss the effects of air resistance?

Given: h = 75cm = 0.75 m

Find: vi, t

The equations we can use

v = vi - 9.81 t

y = vi t - 4.905 t²

There's an additional piece of knowledge that we know. At the peak of the jump, when the fox is at height h, it has zero velocity:

0 = vi - 9.81 tp 0.75 = vi tp - 4.905 tp²

We are now left with two equations and two unknowns. We can solve for vi, the initial velocity.

vi = 9.81 tp

0.75 = 9.81 tp² - 4.905 tp²

0.75 = 4.905 tp²

tp = 0.391 seconds

vi = 9.81 tp = 3.84 m/s

That's one answer. Using the second equation :

y = vi t - 4.905 t²

0 = 3.84 t - 4.905 t²

0 = t (3.84 - 4.905 t)

t = 0, 0.783 s

So the fox leaves the snow at 3.84 m/s and disburses 0.783 seconds in the air.

To learn more about Air resistance, refer

https://brainly.com/question/1385438

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