Vector Magnitudes and projectile motion

AI Thread Summary
To solve for the projectile's horizontal and vertical velocity, the equations of projectile motion must be applied, specifically considering the plane's speed and angle of ascent. The plane travels at 1300 km/h and climbs at a 45-degree angle, which affects the projectile's initial velocity components. The horizontal displacement of 2 km from the origin is relevant for determining the projectile's trajectory. The key is to calculate the initial velocity vectors just before release, taking into account the plane's speed and angle at the altitude of 7 km. Understanding these dynamics is crucial for accurately determining the projectile's motion after release.
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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!
 
Physics news on Phys.org
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?
 
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