Q: How Determine the maximum wind velocity for a 45 crosswind if the maximum crosswind component for the airplane is 25 knots?

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1380 kph west

Using the Pythagorean theorem, we can determine the actual velocity in the xy plane to be (the square root of 41) m/s along the vector [5,4].

If the initial velocity is v, at an angle x to the horizontal, then the vertical component is v*sin(x) and the horizontal component is v*cos(x).

It will fly exactly .

The craft's velocity is 232 meters per second north.

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The northern component of the velocity can be found by multiplying the velocity by the cosine of the angle it makes with the north direction. Since the airplane is moving northeast, which is 45 degrees from north, the northern component velocity would be 150 km/h * cos(45°) ≈ 106 km/h.

No, horizontal velocity does not affect the rate of vertical velocity. Each component of velocity (horizontal and vertical) is independent of the other. They act separately to determine the motion of an object.

The resultant velocity is calculated by adding the velocity of the airplane to the velocity of the tailwind, as they are in the same direction. Therefore, the resultant velocity of the airplane is 1260 km/h east (1200 km/h + 60 km/h).

exactly the same as if they were running against the wind, with crosswind or in a vacuum. m/s2

To find the initial velocity of the kick, you can use the equation for projectile motion. The maximum height reached by the football is related to the initial vertical velocity component. By using trigonometric functions, you can determine the initial vertical velocity component and then calculate the initial velocity of the kick.

The resultant velocity is calculated by subtracting the headwind velocity from the airplane's velocity: 1400 kph (west) - 20 kph (east) = 1380 kph (west)

The two main factors that determine the amount of lift achieved by an airplane are the shape and size of the wings (including factors like wing area, airfoil design, and wing inclination angle) and the speed of the airplane through the air.

The horizontal velocity component remains constant because there are no horizontal forces acting on the projectile (assuming no air resistance), so the velocity remains unchanged. The vertical velocity component changes due to the force of gravity, which accelerates the projectile downward, increasing its velocity as it falls.

Hang time depends on your vertical component of velocity when you jump. The higher the vertical velocity, the longer your feet will be off the ground. The horizontal component of velocity does not affect hang time.

The horizontal component of velocity for a projectile is not affected by the vertical component. They are independent of each other. The horizontal velocity remains constant as long as there are no external forces acting on the projectile.

it means that the airplane is staying in motion but will soon crash;)

You need to have displacement and time for you to determine the velocity.