Vector Magnitudes and projectile motion

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SUMMARY

The discussion focuses on calculating the horizontal and vertical velocity components of a projectile released from a plane traveling at 1300 km/h, climbing at a 45-degree angle, and at an altitude of 7 km. The relevant equations for projectile motion, specifically Vy = Vo + Ayt and X = Xo + Vxo*t, are identified as essential for solving the problem. The participant expresses uncertainty about the initial conditions of the projectile's velocity and direction at the moment of release, highlighting the need for clarity on these parameters to proceed with the calculations.

PREREQUISITES
  • Understanding of projectile motion equations
  • Knowledge of vector components in physics
  • Familiarity with kinematic equations
  • Basic concepts of velocity and acceleration
NEXT STEPS
  • Study the derivation and application of projectile motion equations
  • Learn how to resolve vectors into horizontal and vertical components
  • Explore the effects of initial velocity on projectile trajectories
  • Research the concept of instantaneous velocity at the moment of release
USEFUL FOR

Students studying physics, particularly those focusing on kinematics and projectile motion, as well as educators seeking to enhance their teaching methods in these topics.

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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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