Horizontal velocity for projectile motion

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SUMMARY

The discussion centers on the calculation of horizontal velocity for a bullet fired from a moving plane. The plane, traveling at 200 m/s, fires a bullet at an angle of 37 degrees with an initial velocity of 400 m/s. The horizontal component of the bullet's velocity is calculated using the formula Vx = Vo * Cos(37), resulting in 319.45 m/s. The total horizontal velocity of the bullet, when considering the plane's motion, is 519.45 m/s, demonstrating the principle of relative motion based on different frames of reference.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with trigonometric functions, specifically cosine
  • Knowledge of relative motion concepts
  • Basic physics equations related to velocity
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  • Study the derivation of projectile motion equations
  • Learn about the effects of different angles on projectile trajectories
  • Explore the concept of frames of reference in physics
  • Investigate real-world applications of relative motion in aviation
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Students studying physics, particularly those focusing on mechanics and projectile motion, as well as educators seeking to clarify concepts of relative motion and velocity calculations.

Michael Ngo
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Homework Statement


There was a plane with the height of 1 km above the ground. The plane is moving horizontally 200 m/s and can fire a bullet with the velocity of 400 m/s. At one time, the the gun form an angle of 37(degree) and fired the bullet.

I was confused with the horizontal (x-axis) velocity of the bullet. Does the velocity of the plane firing the gun also relevant or does it not ?

Homework Equations


The equation for the horizontal velocity of the bullet should be :
Vx = Vo. Cos37

The Attempt at a Solution


So it should be
Vx = Vo. Cos37 = 319.45 m/s

If the plane is moving 200 m/s horizontally. Does it add up with the horizontal velocity of the bullet? Like for say the total horizontal velocity of the bullet is 319.45 m/s + 200 m/s = 519.45 m/s .

Can someone explain it to me ? Sorry for asking such trivial question
 
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This is about relative motion, right? So it depends on your frame of reference. According to the plane's frame of reference, the bullet would be moving 319 m/s, but according to someone on the ground, the bullet would be moving at 519 m/s.
 
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Oh, i see. So its relative. Thank you sir
 

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