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Lecture 4
Projectile Motion
Physics 111, Summer 2011, June 16, Lecture 4
Summary
A scalar is a quantity which has the magnitude
only.
Examples: mass, length, time, volume, temperature.
A vector is a quantity which has the magnitude
and direction.
Examples: displacement, velocity, force.
pp
y
A vector has components along horizontal (
x
) and vertical (
y
) directions (axes).
Horizontal component of the vector
(along the
x
axis):
θ
cos
A
A
x
=
Vertical component of the vector
(along the
y
axis):
sin
A
A
y
=
A
r
A
r
Moving object may have different velocity relatively another objects; to find
relative velocity, we have to use vectors.
2
An object can move in two dimensions (along both the
x
 and
y
axes); an
example of such a motion is projectile motion.
Physics 111, Summer 2011, June 16, Lecture 4
Velocity vs. Time
The slope of a velocity vs. time graph is:
1) distance
2) velocity
3) acceleration
4) displacement
v
v
Δ
t
Δ
t
2
2
,
t
v
2
1
,
t
v
3
a
t
v
t
t
v
v
slope
=
Δ
Δ
=
−
−
=
1
2
1
2
Physics 111, Summer 2011, June 16, Lecture 4
Projectile Motion
4
Physics 111, Summer 2011, June 16, Lecture 4
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Projectile Motion
A projectile
is any object that is given an initial velocity and then follows a path
determined by the horizontal and vertical motion (air resistance is important by
Simultaneous motion in horizontal and vertical directions.
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 Summer '08
 B
 Force, Mass, Projectile Motion, Velocity

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