Non-Vertical Projectile Motion
Obj: Examine dynamics of trajectories: v_x, v_y velocities
Equipment: launcher, plastic ball, meter stick, stopwatch

Procedure:
1.  Set the launcher between 60^o and 75⁰ above the horizontal.
2.  Carefully plunge the plastic ball into the barrel to the full setting.
3.  Launch the ball and allow it to bounce several times while you observe.  Note the path.
4.  Now launch the ball and record the total time (t_total) of flight for 3 flights and the horizontal distance d_x) the ball travels at the first bounce.  Take the average time and average distance.

Analysis
1.  Using the motion equations for v_y, v_x, d_y, d_x, and allowing gravity g = 10m/s²
a.  Determine the vertical (v_y) and horizontal (v_x) velocities and the maximum height (d_y) of the ball.
2.  Establish a scale of 1cm = 0.5 m/s, then do a graphical vector analysis to determine the initial velocity (v_o).  Verify using the Pythagorean  theorem.
3.  Determine the following for your launch
a.  g at the maximum height (d_y) of the ball and 0.25 meters from the horizontal surface.
b.  the velocity of the ball upon impact with the floor.
c.  The vertical and horizontal velocities at the top (apex) of the flight.
4.  On one graph, sketch the v_y and v_x of the ball for the total time of flight.  What is the significance of the slopes?  What is the significance of the area under the v_x velocity line? 

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