The document describes projectile motion concepts including: (1) how kinetic energy transforms into potential energy and vice versa, (2) how mass, initial velocity, and firing angle affect range and displacement, and (3) how velocity and acceleration change over time. The user can input a firing angle, mass, initial velocity, and the outputs will show changes in velocity, displacement, maximum height, time to maximum height, maximum distance, time to ground, and a bar graph of kinetic, potential and dissipated energy over time. Equations are provided for velocity, acceleration, displacement, maximum height, time to maximum height, maximum distance, and time to ground.

1. Projectile Motion

2. Concepts
• To illustrate the relationships among concepts
involved in projectile motion and energy
transformation, particularly:
– How Kinetic Energy is transformed into Potential
Energy and vice versa
– Mass, Initial Velocity and Firing Angle’s effects on
Range and Displacement
– How velocity and acceleration change through
time
– How energy is conserved and transformed

3. User Inputs
(Before start button is pressed)
• Firing Angle (FA) = User input between 0 to 180
• Mass = User Input choices
• Y-Axis
• Initial Velocity = User input between ?
Output:
• Initial Velocity (Vo) = Vx + Vy = Vx sin FA + Vy cos
FA

4. Outputs
(After start button is pressed)
• Change in Vx and Vy
• Vertical and Horizontal Displacement
• Maximum Height of Projectile
• Time to reach maximum height
• Maximum distance of Projectile
• Time to reach ground
BAR GRAPH
• Kinetic Energy
• Potential Energy

5. Equations
• Velocity:
– Vx = remains unchanged = Vocos FA
– Vy = increasing linearly = Vo sin FA – gt
• Acceleration = constant = g
• Time, t = per second of motion as start button is pressed
• Magnitude of Velocity
• Vertical and Horizontal Displacement
x = Vo t cos FA
y = Vo t sin FA - 1/2 gt^2
• Maximum height of projectile:
• Time to reach maximum height:
• Maximum distance of projectile:
• Time to reach ground:
BAR GRAPH:
• Kinetic energy = 1/2mv^2
• Potential energy = mgh
• Dissipated Energy

6. Height
Potential Dissipated Kinetic
Energy Energy Energy
0:00 sec
2
Range
Firing Angle Mass Initial Velocity GO PAUSE

7. Height,
meters
Velocity =
x
Acceleration =
Potential Dissipated Kinetic
Energy Energy Energy
10
0:10 sec
10 Range
Firing Angle Mass Initial Velocity GO PAUSE

8. Height,
meters
Potential Dissipated Kinetic
Energy Energy Energy
Velocity = x
Acceleration = 0:20 sec
5
Range
15
Firing Angle Mass Initial Velocity GO PAUSE