How Do You Calculate Final Y-Velocity of a Projectile?

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SUMMARY

The final velocity in the y-direction of a projectile launched at 40 m/s at an angle of 38 degrees, which subsequently travels at an angle of 24 degrees below the horizontal, is calculated to be 14.0333 m/s downward. The x-component of the velocity remains constant at 31.52 m/s due to ideal conditions. The calculation utilizes trigonometric functions, specifically the tangent function, to determine the y-component of the velocity based on the angle of trajectory.

PREREQUISITES
  • Understanding of projectile motion principles
  • Knowledge of trigonometric functions, specifically tangent
  • Familiarity with velocity components in physics
  • Basic knowledge of gravitational effects on motion
NEXT STEPS
  • Study the equations of motion for projectiles
  • Learn how to resolve vectors into components
  • Explore the effects of gravity on projectile trajectories
  • Investigate advanced projectile motion scenarios, including air resistance
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and projectile motion, as well as educators looking for practical examples of velocity calculations.

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Homework Statement


A projectile is launched at 40 m/s and an angle of 38 degrees. After some time, its angle of trajectory is 24 degrees below the horizontal. What is the final velocity in the y direction at this time? Answer in m/s.



Homework Equations

 
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Find the x-axis motion... so... cos 38 * 40 = 31.52 m/s.. now that never changes in ideal conditions...only in the y direction the velocity changes due to gravity.. now u no at some time its 24 degrees below horizontal.. the ball or what ever is still traveling at 31.52 metres/s in the x direction.. and you have and angle.. so using triangle formulas... tan 24 * 31.52m/s = 14.0333m/s towards the ground.. i think this is right.
 

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