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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!!!

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