#### Projectile Motion

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Transcript Projectile Motion

What is Projectile
Motion?
Instructional Objectives:
• Students will be able to:
– Define Projectile Motion
– Distinguish between the different types of
projectile motion
– Apply the concept to a toy car and measure its
velocity
Projectile Motion
• Two-dimensional motion of an object
– Vertical
– Horizontal
Types of Projectile
Motion
• Horizontal
– Motion of a ball rolling freely along a
level surface
– Horizontal velocity is ALWAYS
constant
• Vertical
– Motion of a freely falling object
– Force due to gravity
– Vertical component of velocity
changes with time
• Parabolic
– Path traced by an object accelerating
only in the vertical direction while
moving at constant horizontal velocity
Examples of Projectile
Motion
• Launching a Cannon ball
Equations
• X- Component
x f xi v xi t
• Y- Component
1 2
gt
2
2 g y
y f y i v yi t
v yf v yi
2
2
v yf v yi gt
• Vectors
v xi vi cos( )
v yi vi sin( )
Note: g= 9.8
m/s^2
Factors Affecting
Projectile Motion
• What two factors would affect projectile
motion?
– Angle
– Initial velocity
Initial Velocity
Angle
Class Exercise
An object is fired from the ground at 100
meters per second at an angle of 30
degrees with the horizontal
Calculate the horizontal and vertical
components of the initial velocity
After 2.0 seconds, how far has the object
traveled in the horizontal direction?
How high is the object at this point?
Solution
• Part a
s cos 30 87 m s
v sin 100 m sin 30 50 m
s
s
vix vi cos 100 m
viy
• Part b
0
0
i
x
vix
t
x v x t 87 m
• Part c
y viy t
s
2.0s 174m
1
1
2
g t 2 50 m 2.0s 9.8 m 2 2.0s
s
s
2
2
Applications
Any Ideas?
LAB TIME!!!