Calculations:

• Resultant Velocity and Resultant Acceleration: The video camera records 60 frames per second or one frame each 0.0166 seconds. Using distance in meters and time in seconds calculate the velocity and acceleration of the balls in each frame. The resultant linear velocity and resultant linear acceleration will be the hypotenuse of each triangle. 

  • Linear Velocity:  v_r=d/Dt

  • Linear Acceleration: a_r=v₂-v₁/Dt

• Horizontal and Vertical Components of Velocity and Acceleration: Figure the values for vertical and horizontal velocity and vertical and horizontal acceleration.

  • Vertical Velocity: v_v=v_r x sinq

  • Horizontal Velocity: v_h=v_r x cosq

  • Vertical Acceleration: a_v=a_r x sinq

  • Horizontal Acceleration: a_h=a_r x cosq

• Note: In this specific example we cannot determine the acceleration in the first frame.  We know that the balls were moving prior to the first frame, but we do not know how fast.

Questions:

Using Microsoft Excel, make one table and three graphs; one graph for linear displacement, one graph for resultant, horizontal, and vertical linear velocity, and one graph for resultant, horizontal, and vertical linear acceleration.

1. Graph the linear displacement.
2. Graph the resultant, horizontal, and vertical velocity on one graph. What pattern should each variable follow? How do your values differ from what you expected?
3. Graph the resultant, horizontal, and vertical acceleration on one graph. What pattern should horizontal, and vertical acceleration follow? How do your values differ from what you expected?
4. What external force(s) is/are acting on the horizontal velocity?
5. What external force(s) is/are acting on the vertical velocity?
6. List three (3) possible explanations for the error between what you expected and your actual results?