Introduction

• Objects don’t move in only one dimension, but three dimensions

• We have developed equations and tools to use for one dimensional problems that will also apply to projectile, two dimensional, motion as well

  • Δd = Vi Δt + ½ A Δt²

  • Vf² = Vi² + 2A Δd

  • Vf = Vi + A Δt

  • Vector Resolution

    • You broke up all vectors into an x and y component

      • Displacement / Velocity / Acceleration are all vectors

      • Can also be broken up

Projectile Motion

• Projectile Motion is the curved motion of an object shot or thrown through the air

  • Projectile - any object shot or thrown through the air

  • Trajectory - the parabolic path of a projectile

  • Range - the horizontal displacement of a projectile from its origin

  • Hang Time - the amount of time an object is in the air

Types of Projectile Motion

• Horizontally Launched

• Angle Launched

Guidelines for Projectile Motion

• No air resistance

  • Acceleration in the x direction is 0

  • Velocity in the x direction is constant

• Gravity is constant

  • Acceleration in the y direction is -9.80 m/s²

• Independence of motion

  • X and Y displacements, velocities, and accelerations are independent

• Time is the link between dimensions

  • T_x = T_y

Angle Launched Projectiles