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**What is Projectile Motion?**

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**Instructional Objectives:**

Students will be able to: Define Projectile Motion Distinguish between the different types of projectile motion Apply the concept to flying marble and measure its velocity TEKS 5.A and 5.B

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**Projectile Motion Two-dimensional motion of an object Vertical**

Horizontal

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**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

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**Examples of Projectile Motion**

Launching a Cannon ball

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**Variables Horizontal Vertical Displacement a.k.a. distance x (xf – xi)**

y (yf – yi) Initial Velocity Vxi Vyi Average Velocity Va Final Velocity = Vxi Vyf Time t Acceleration a g = 9.8 m/s2 Angle θ

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**(Acceleration due to gravity)**

Equations X- Component Y- Component Vectors Note: g = 9.8 m/s2 (Acceleration due to gravity)

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**Factors Affecting Projectile Motion**

What two factors would affect projectile motion? Initial velocity Angle Initial Velocity Angle

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**Solving Problems Involving Projectile Motion**

Read the problem carefully, and choose the object(s) you are going to analyze. Draw a diagram. Choose an origin and a coordinate system. Decide on the time interval; this is the same in both directions, and includes only the time the object is moving with constant acceleration g. Examine the x and y motions separately.

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**Solving Problems Involving Projectile Motion**

6. List known and unknown quantities. Remember that vx never changes, and that vy = 0 at the highest point. 7. Plan how you will proceed. Use the appropriate equations; you may have to combine some of them.

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**Group Practice Interactive projectile motion calculator**

Other explanations and practice problems

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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?

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Solution Part a Part b Part c

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**Additional Group Exercises**

See handouts, other presentations, or textbook examples

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Applications Any Ideas?

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Summary of Concepts A projectile is any object upon which the only force is gravity, For our purposes we will not consideration air resistance, so we will take the approach all bodies fall at the same rate regardless of their mass Projectiles travel with a parabolic trajectory due to the influence of gravity, There are no horizontal forces acting upon projectiles and thus no horizontal acceleration, The horizontal velocity of a projectile is constant (a never changing in value), There is a vertical acceleration caused by gravity; its value is 9.8 m/s/s, down, The vertical velocity of a projectile changes by 9.8 m/s each second, The horizontal motion of a projectile is independent of its vertical motion.

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**Independent Practice – problem sets Set 1 Set 2 Set 3 **

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**Labs CPO Manual B-1: Launch Angle vs. Range**

B-2: Launch Angle vs. Speed B-3: Analysis of Range and Speed

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Acknowledgements gk12.poly.edu/.../RAISE...PowerPointFiles/Projectile%20Motion.ppt

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