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Projectile motion

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Projectile motion

1. 1. Projectile Motion
2. 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. 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. 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 groundBAR GRAPH• Kinetic Energy• Potential Energy
5. 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. 6. Height Potential Dissipated Kinetic Energy Energy Energy 0:00 sec2 Range Firing Angle Mass Initial Velocity GO PAUSE
7. 7. Height,meters Velocity = x Acceleration = Potential Dissipated Kinetic Energy Energy Energy10 0:10 sec 10 Range Firing Angle Mass Initial Velocity GO PAUSE
8. 8. Height,meters Potential Dissipated Kinetic Energy Energy Energy Velocity = x Acceleration = 0:20 sec5 Range 15 Firing Angle Mass Initial Velocity GO PAUSE