List of all 2d motion and projectile equations?

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SUMMARY

The discussion focuses on the equations governing 2D motion and projectile motion in physics. It emphasizes that the vertical direction, influenced by acceleration, follows the same principles as 1-D equations for constant acceleration. The horizontal direction, characterized by constant velocity, utilizes the equation Δx = v_x Δt, with an alternative expression of the velocity component as v·cosθ. These equations are essential for solving problems related to projectile motion.

PREREQUISITES
  • Understanding of 2D kinematics
  • Familiarity with projectile motion concepts
  • Knowledge of trigonometric functions (sine and cosine)
  • Basic algebra for manipulating equations
NEXT STEPS
  • Study the derivation of 1-D equations for constant acceleration
  • Explore the application of trigonometric functions in physics problems
  • Learn about the effects of air resistance on projectile motion
  • Investigate advanced topics in 2D motion, such as circular motion equations
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Students and educators in physics, engineers working with motion analysis, and anyone interested in mastering the principles of 2D motion and projectile equations.

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where can I find them?

all forms to find out any missing quantity?
 
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For the direction with acceleration (vertical, in the case of projectile motion), the equations are the same as the 1-D equations for constant acceleration. Just be aware that the velocity can be expressed as either vy or v·sinθ.

For the direction without acceleration, it is motion with a constant velocity and there is really just one equation, \Delta x \ = \ v_x \ \Delta t. An alternative form of the same equation is to express the velocity component as v·cosθ.

Hope that helps.
 

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