VECTOR COMPONENTSVECTOR COMPONENTS

Part of a vectorPart of a vector x-componentx-component: Determines how far : Determines how far

horizontallyhorizontally the vector is tilted the vector is tilted y-componenty-component: Determines how far : Determines how far

verticallyvertically the vector is tilted the vector is tilted

VECTOR COMPONENTSVECTOR COMPONENTS

x-component

y-componentA

In this case, both components are positive

PROJECTILE MOTIONPROJECTILE MOTION

Acts Acts onlyonly under the influence of under the influence of gravity (neglecting air resistance)gravity (neglecting air resistance)

Follows a curved, 2-D path Follows a curved, 2-D path

X-COMPONENTX-COMPONENT Neglecting air resistance, the Neglecting air resistance, the

horizontal velocity of a projectile horizontal velocity of a projectile remains constantremains constant

Y-COMPONENTY-COMPONENT The vertical component of The vertical component of

the velocity of a projectile the velocity of a projectile changes due to gravitychanges due to gravity The object accelerates The object accelerates

downwarddownward The y-component acts the The y-component acts the

same as an object in freefallsame as an object in freefall

PROJECTILE MOTIONPROJECTILE MOTION

These motions will combine These motions will combine to form a trajectory in the to form a trajectory in the shape of a parabolashape of a parabola

PROJECTILE MOTIONPROJECTILE MOTION

PROJECTILE MOTIONPROJECTILE MOTION

PROJECTILE MOTIONPROJECTILE MOTION The horizontal component of a The horizontal component of a projectile is projectile is entirely independententirely independent from the vertical component of from the vertical component of motionmotion

Changing one Changing one does notdoes not affect the affect the otherother

PROJECTILE MOTIONPROJECTILE MOTION The equations of 1-D motion still apply The equations of 1-D motion still apply

(refer to your formula sheet), but keep (refer to your formula sheet), but keep uniform motion uniform motion distinct from distinct from uniformly uniformly accelerated motionaccelerated motion..

DONDON’’T MIXT MIX x- and y-components in the x- 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 with Time (and only time) can be used with

both x- and y-componentsboth x- and y-components

PROJECTILE MOTIONPROJECTILE MOTION At the top of its path, an object has At the top of its path, an object has

zerozero y-component to its velocity. y-component to its velocity. It moves It moves perfectly perfectly horizontally horizontally for a slip-second for a slip-secondinstant in timeinstant in time

PROJECTILE MOTIONPROJECTILE MOTION Neglecting air Neglecting air

resistance, the resistance, the path of a path of a projectile is projectile is perfectlyperfectly symmetricalsymmetrical