Four Major Types ofFour Major Types ofTwo Dimensional MotionTwo Dimensional Motion

1. 1. Projectile MotionProjectile Motion

2. 2. Circular MotionCircular Motion

3. 3. Rotational MotionRotational Motion

4. 4. Periodic MotionPeriodic Motion

Projectile motion problems are best solved byProjectile motion problems are best solved bytreating horizontal and vertical motion separately.treating horizontal and vertical motion separately.

IMPORTANTIMPORTANTGravity only affects vertical motion.Gravity only affects vertical motion.

There are two general typesThere are two general typesof projectile motion situations.of projectile motion situations.

1. object launched horizontallyobject launched horizontally2. object launched at an angleobject launched at an angle

Object Launched HorizontallyObject Launched Horizontallyvv00 = initial horizontal velocity = initial horizontal velocity

R = horizontal rangeR = horizontal range

h = initial height h = initial height above groundabove ground

t = total time in the airt = total time in the airIMPORTANT FACTSIMPORTANT FACTS

There is no horizontal acceleration.There is no horizontal acceleration.There is no initial vertical velocity.There is no initial vertical velocity.The horizontal velocity is constant.The horizontal velocity is constant.

Time is the same for both vertical and horizontal.Time is the same for both vertical and horizontal.

horizontal

R = vR = v00..tt

vertical

h = 0.5 h = 0.5 .. aagg..tt22

Learn more about projectile motionLearn more about projectile motionat these links:at these links:

link1, link2, link3, link4, link5, link6

View projectile motion simulations at:View projectile motion simulations at:

link1, link2, link3, link4, link5, link6