1. VECTOR COMPONENTSVECTOR COMPONENTS
Part of a vectorPart of a vector
x-componentx-component: Determines how far: Determines how far
horizontallyhorizontally the vector is tiltedthe vector is tilted
y-componenty-component: Determines how far: Determines how far
verticallyvertically the vector is tiltedthe vector is tilted
3. PROJECTILE MOTIONPROJECTILE MOTION
ActsActs onlyonly under the influence ofunder the influence of
gravity (neglecting air resistance)gravity (neglecting air resistance)
Follows a curved, 2-D pathFollows a curved, 2-D path
4. X-COMPONENTX-COMPONENT
Neglecting air resistance, theNeglecting air resistance, the
horizontal velocity of a projectilehorizontal velocity of a projectile
remains constantremains constant
5. Y-COMPONENTY-COMPONENT
The vertical component ofThe vertical component of
the velocity of a projectilethe velocity of a projectile
changes due to gravitychanges due to gravity
The object acceleratesThe object accelerates
downwarddownward
The y-component acts theThe y-component acts the
same as an object in freefallsame as an object in freefall
6. PROJECTILE MOTIONPROJECTILE MOTION
These motions will combineThese motions will combine
to form a trajectory in theto form a trajectory in the
shape of a parabolashape of a parabola
9. PROJECTILE MOTIONPROJECTILE MOTION
The horizontal component of aThe horizontal component of a
projectile isprojectile is entirely independententirely independent
from the vertical component offrom the vertical component of
motionmotion
Changing oneChanging one does notdoes not affect theaffect the
otherother
10. PROJECTILE MOTIONPROJECTILE MOTION
The equations of 1-D motion still applyThe equations of 1-D motion still apply
(refer to your formula sheet), but keep(refer to your formula sheet), but keep
uniform motionuniform motion distinct fromdistinct from uniformlyuniformly
accelerated motionaccelerated motion..
DONDON’T MIX’T MIX x- and y-components in thex- and y-components in the
same equation. Keep them separate!same equation. Keep them separate!
Time, however, is a scalar quantity.Time, however, is a scalar quantity.
Time (and only time) can be used withTime (and only time) can be used with
both x- and y-componentsboth x- and y-components
11. PROJECTILE MOTIONPROJECTILE MOTION
At the top of its path, an object hasAt the top of its path, an object has
zerozero y-component to its velocity.y-component to its velocity.
It movesIt moves
perfectlyperfectly
horizontallyhorizontally
for a slip-secondfor a slip-second
instant in timeinstant in time
12. PROJECTILE MOTIONPROJECTILE MOTION
Neglecting airNeglecting air
resistance, theresistance, the
path of apath of a
projectile isprojectile is
perfectlyperfectly
symmetricalsymmetrical