Vector Magnitudes and projectile motion

In summary, the problem involves a plane traveling at a constant speed and height before suddenly climbing at a 45 degree angle and releasing a projectile at an altitude of 7 km. The goal is to find the magnitude of the projectile's horizontal and vertical velocity. Projectile motion equations will be used, and the direction and velocity of the projectile at various points in time will need to be considered.
  • #1
danosu43
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0

Homework Statement



A plane traveling at a speed of 1300 km/h in a northernly direction at a height of 5 km above the the ground suddenly climbs at an angle of 45 degrees to to horizon. Maintaining the speed and angle it releases a projectile as it passes through 7 km in altitude. Find the magnitude of the projectile's horizontal and vertical velocity.

Homework Equations



I know projectile motion equations will be used. Vy=Vo+Ayt and X=Xo+Vxo*t

The Attempt at a Solution



I figured out that if it is released after it hits 7km the planes displacement in the x direction would be 2 km from the origin of the axis (not sure if relevant or not). The total height of 7 km will also come into play when figuring the projectile motion down, but I'm not sure how to get started when considering the direction of the projectile leaving the plane. Any help or just a nudge in the right direction would be greatly appreciated. Thank you!
 
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  • #2
When the projectile is on the plane - a nanosecond before release, what is its direction and velocity?
A picosecond before?
A femptosecond before?
At the instant of release?
 

1. What is a vector magnitude?

A vector magnitude is the size or length of a vector, represented by a scalar value. It is calculated by taking the square root of the sum of the squared components of the vector.

2. How is vector magnitude different from scalar magnitude?

Scalar magnitude refers to the size or quantity of a scalar quantity, which has only magnitude and no direction. Vector magnitude, on the other hand, refers to the size or length of a vector, which has both magnitude and direction.

3. How is vector magnitude used in projectile motion?

In projectile motion, vector magnitude is used to calculate the speed or velocity of a projectile. The magnitude of the initial velocity vector determines the maximum height and range of the projectile.

4. What factors affect the vector magnitude in projectile motion?

The vector magnitude in projectile motion is affected by the initial velocity, initial angle of launch, air resistance, and the force of gravity.

5. Can the vector magnitude of a projectile change during its motion?

Yes, the vector magnitude of a projectile can change during its motion. This can happen if there are external forces acting on the projectile, such as air resistance or gravity, or if the initial velocity or angle of launch is altered.

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