Transcript Slide 1

Objectives:
•Analyze the motion of an object in free fall.
•Solve two-dimensional problems.
•Calculate the range of a projectile.
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A projectile is an object that has been
launched in to the air with no capacity to
propel itself.
Projectile motion is the movement of a
projectile as it travels through the air
influenced only by its original velocity and
gravitational acceleration.
 The path of a projectile is parabolic.
 Examples: a baseball pop fly, a car diving off a
cliff, and water flowing out of a hose.
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The motion of a projectile can be broken up
into components.
 x-component
▪ Velocity is constant
▪ sx = vxt
 y-component
▪ Under the influence of gravity
▪ The big 4 kinematic equations apply here
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A ball rolls at a constant speed of 0.700 m/s as
it reaches the end of a 1.30 m high table.
How far from the edge of the table does the
ball land?
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Projectiles launched horizontally have no
initial vertical velocity (viy = 0).
However, projectiles launched and an angle
do have an initial vertical velocity.
 This vertical component of the initial velocity can
be found with
▪ viy = v sin 
 The constant horizontal velocity can be found
with
▪ vx = v cos 
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A baseball is hit and moves initially at an angle of
35.0o above the horizontal ground with a velocity of
25.0 m/s. (a) What are the vertical and horizontal
components of the initial velocity of the ball. (b)
How long will the ball be in the air? (c) What will be
the range for this projectile?