Launching Projectiles: Calculating Initial Velocities, Distances, & Paths

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SUMMARY

The discussion focuses on the physics of projectile motion, specifically calculating initial velocities, distances, and paths of an object launched from the ground. Participants emphasize the need to resolve the initial velocity (vo) into horizontal and vertical components using trigonometric functions. The horizontal distance (x) is determined by the equation x = vt, where v is the horizontal component derived from the initial velocity. Additionally, the discussion touches on formulating the path equation and predicting the range of the projectile.

PREREQUISITES
  • Understanding of trigonometric functions for resolving vectors
  • Familiarity with basic physics concepts of projectile motion
  • Knowledge of kinematic equations
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study the derivation of projectile motion equations
  • Learn how to calculate the range of a projectile using the range equation
  • Explore the effects of varying launch angles on projectile distance
  • Investigate the impact of air resistance on projectile motion
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Students of physics, educators teaching mechanics, and anyone interested in understanding the principles of projectile motion and its applications in real-world scenarios.

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an object is launched from the ground with an initial velocity (vo) at an angle (theta) with the ground. disregard air resistance

a. what is the initial horizontal velocity of the object? the initial vertical velocity?

b. what is the horizontal distance the object moves in time t? the vertical distance in time t?

c. write an equation for the path of the object.

d. find the equation which predicts the range equation
 
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What have you done on these. They look like simple applications of trigonometry and formula you have been given.
 
i remember doing these probs :smile: ... u need to resolve Vo into vertical and horizontal components for part a. (...but I'm not tellin :rolleyes: )...

b. is x=vt -----> x=(horizontal component u get from part a)(t) and the same with vert. comp.

c and d.think about what its motion looks like.
 

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