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What is Projectile<br />
Motion?
Instructional Objectives:<br />
• Students will be able to:<br />
– Define Projectile Motion<br />
– Distinguish between the different types of<br />
projectile motion<br />
– Apply the concept to a toy car and measure its<br />
velocity
Projectile Motion<br />
• Two-dimensional motion of an object<br />
– Vertical<br />
– Horizontal
Types of Projectile<br />
Motion<br />
• Horizontal<br />
– Motion of a ball rolling freely along a<br />
level surface<br />
– Horizontal velocity is ALWAYS<br />
constant<br />
• Vertical<br />
– Motion of a freely falling object<br />
– Force due to gravity<br />
– Vertical component of velocity<br />
changes with time<br />
• Parabolic<br />
– Path traced by an object accelerating<br />
only in the vertical direction while<br />
moving at constant horizontal velocity
• Launching a Cannon ball<br />
Examples of Projectile<br />
Motion
Equations<br />
• X- Component<br />
• Y- Component<br />
• Vectors<br />
x<br />
y<br />
v<br />
v<br />
v<br />
v<br />
f<br />
f<br />
yf<br />
yf<br />
xi<br />
yi<br />
2<br />
<br />
<br />
<br />
<br />
<br />
<br />
x<br />
y<br />
v<br />
v<br />
i<br />
i<br />
v<br />
v<br />
yi<br />
i<br />
i<br />
v<br />
v<br />
2<br />
yi<br />
<br />
xi<br />
yi<br />
gt<br />
t<br />
t<br />
<br />
1<br />
2<br />
2gy<br />
cos( )<br />
sin( )<br />
gt<br />
2<br />
Note: g= 9.8<br />
m/s^2
Factors Affecting<br />
Projectile Motion<br />
• What two factors would affect projectile<br />
motion?<br />
– Angle<br />
– Initial velocity<br />
Initial Velocity<br />
Angle
Class Exercise<br />
An object is fired from the ground at 100<br />
meters per second at an angle of 30<br />
degrees with the horizontal<br />
Calculate the horizontal and vertical<br />
components of the initial velocity<br />
After 2.0 seconds, how far has the object<br />
traveled in the horizontal direction?<br />
How high is the object at this point?
Solution<br />
• Part a<br />
• Part b<br />
• Part c<br />
v<br />
v<br />
ix<br />
iy<br />
v<br />
ix<br />
<br />
<br />
x<br />
<br />
v<br />
v<br />
i<br />
i<br />
x<br />
<br />
t<br />
v<br />
cos<br />
<br />
sin<br />
<br />
x<br />
t<br />
<br />
m<br />
0<br />
100 cos30 87 m<br />
s<br />
m<br />
0<br />
100 sin30 50m<br />
s<br />
s<br />
87 m 2.0s 174m<br />
s<br />
<br />
2<br />
1<br />
t<br />
50m<br />
2.0s<br />
9.8m<br />
2<br />
2 2.0s<br />
1<br />
y<br />
viyt<br />
g<br />
<br />
2<br />
s<br />
2<br />
s<br />
s
Applications<br />
Any Ideas?
LAB TIME!!!