.Solving for Initial Velocity: Kinematic Equations

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SUMMARY

The discussion focuses on deriving the initial velocity (Vo) required for an object to hit a target at a specified angle using kinematic equations. The key formula presented is Vo = √(xa/(sin(2θ))), which relates the horizontal distance (xa) and the launch angle (θ). Participants express confusion over the derivation process, particularly in connecting the components of initial velocity (Voy and Vox) to the overall equation. The conversation emphasizes the importance of understanding the relationships between these variables in projectile motion.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Knowledge of projectile motion concepts
  • Familiarity with trigonometric functions, particularly sine and cosine
  • Basic algebra skills for manipulating equations
NEXT STEPS
  • Study the derivation of the projectile motion equations
  • Learn about the role of angles in projectile motion
  • Explore the application of trigonometric identities in physics
  • Practice solving problems involving initial velocity and target distance
USEFUL FOR

Students in physics courses, educators teaching kinematics, and anyone interested in understanding projectile motion and its mathematical foundations.

brockp949
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how to get to Vo = the square root of ((xa)/(sin2theta))
from the kinematic equations or form SinTheta =Voy/Vo CosTheta =Vox/Vo

just really confused. I am writing a formal lab for my final and what I am asking is find the initial velocity it would take for the object to hit the target as a given angel
 
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i have tried to derive the kinematics formulas as well as the sectors for the initial velocity
 

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