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Projectile Motion. Type I Type II. Projectile Motion. Any object that has been given an initial thrust, then moves only under the force of gravity. The path of a projectile is called the trajectory

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projectile motion

Projectile Motion

Type I Type II

projectile motion1

Projectile Motion

Any object that has been given an initial thrust, then moves only under the force of gravity.

The path of a projectile is called the trajectory

The motion of the object is in two directions (1st time)

To solve projectile motion problems, solve all variables individually

The motion of a projectile in the “X” direction is independent of the motion in the “Y” direction

projectile motion x y motion is independent
Projectile Motion (X & Y motion is independent)
  • Still shots of two golf balls falling.
  • Red ball has “0” initial velocity (free fall)
  • Yellow ball has initial “X direction” velocity (type I projectile)
  • Notice horizontal motion

doesn’t effect vertical

motion.

type i projectile motion analysis
Type I Projectile Motion Analysis
  • A cannon ball is fired at the exact time another cannon ball is dropped:
  • What do you notice about downward velocity? (dropped)
  • What do you notice about velocities of the fired cannon ball?
  • How do downward velocities compare?
  • Which hits first?

zzzzzzzzzzzzzzzzzzzz

type i projectile motion analysis1
Type I Projectile Motion Analysis

Type I Animation

(watch magnitude of velocity arrows)

type i projectile motion analysis2
Type I Projectile Motion Analysis

Equations

“X” direction“Y” direction

dx = vx x t dy = ½ gt2

vx = dx / t vfy = g x t

Proof that motion is independent

type ii projectile motion analysis
Type II Projectile Motion Analysis
  • Steps to solving type II problems:
    • Vix = Vi Cos
    • Viy = Vi Sin
type ii projectile motion analysis1
Type II Projectile Motion Analysis
  • Type II Facts:
    • Perfect symmetry (time up = time down; Vi = Vf Vix = Vfx & Viy = - Vfy ; Vx = constant)
    • Vy at top = 0 m/s
    • Hang time = total time in air
    • Time to max height = ½ hang time
type ii projectile motion analysis2
Type II Projectile Motion Analysis
  • Type II Equations:
    • dx = Vix x t (also used for hang time)
    • Vfy = Viy + gt (also used for time to max ht.)
    • dy = Viyt + ½ gt2 max ht.(use ½ time)
    • Hang Time = Time to max ht. x 2
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