Projectile+Motion+2

__**Objective:**__ To determine the distance a projectile will travel at various angles with a constant initial velocity.

PhET Projectile Motion Simulator: []

__**Video Tutorial:**__ []

__**Data Collection:**__ 1. Make sure velocity is 15 m/s 2. Make sure that the box labeled "air resistance" is not checked. (air resistence is negligable in this lab) 3. Use the "Big Four" equations to solve for the x distance. 4. Use the movable tape measure to place the target at your calculated distance. Start the tape measure at the tip of the cannon 5. Record your own calculations and, check the box labeled "range" at the top of the simulation after firing to find the distance the projectile flies 6. Use these values to calculate percent difference.

__**Analysis questions:**__ 1. At what angle will the projectile achieve maximum distance traveled? 2.Does the diameter of the projectile affect the distance the it travels? Does the mass of the projectile affect the distance the it travels? 3.What factors affect the distance the projectile travels?

__**Graphical Analysis:**__ Graph the launch angle versus the displacement. This graph will enable one to see the ideal launch angle for maximum displacement.

__**Percent Difference:**__ Calculate percent difference between your calculated and simulated distances.

__**Sample Lab Report:**__ __ Projectile Motion 2 make-up lab __

Using the Projectile Motion Simulation, determine how far the object will travel based upon a constant initial velocity and a varying launch angle.
 * __ Objective __**

Internet Access Online Simulation
 * __ Apparatus __**


 * __ Procedure __**
 * 1) Open simulation and set the angle degree to 30.
 * 2) Set initial velocity to 15 m/s
 * 3) Choose an object (mass and diameter are negligible).
 * 4) Using the movable tape measure, measure out how far you expect the object to travel based upon your calculations. (measure from the **tip of the cannon** NOT THE CENTER OF THE CANNON)
 * 5) Use the movable tape measure to place the target at that distance.
 * 6) Fire the object and record the actual x distance according to the simulation
 * 7) Repeat previous steps with angles of 40, 45, 50, and 60 degrees (if time permits also do 20 degrees)

Angle Calculated X (m) Simulated X (m) 20 17.35 17.5 30 21.6 21.8  40 23.8 24.0  45 24.0 24.1  50 23.55 23.6  60 20.45 20.6  For analysis answer the post-lab questions as well as calculate percent difference between your calculated values and the simulated values.
 * __ Data __** (sample data)
 * __ Analysis __**

To calculate percent difference: __ Actual value – Theoretical Value __ Actual value X 100 = percent difference

The graph of this lab should resemble a parabola. The graph will be of Distance versus Launch angle and will demonstrate which launch angle allows the object to travel the furthest.
 * __ Graphical Analysis: __**

Using the “Big Four” equations you are able to calculate how far an object will travel based upon its launch angle. There will be a small percent difference between your values and the values the simulations gave you. This lab shows you that mass and diameter of an object have no effect upon distance traveled. Upon completion of this lab you verify that launching an object a 45 degrees allows it to travel the furthest.
 * __ Conclusion __**