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Projectile Motion Experiment: Analyzing Trajectory and Acceleration, Lab Reports of Physics

In this experiment, you will study projectile motion, and see how to separate the motion of a projectile into its x and y components.

Typology: Lab Reports

2020/2021

Uploaded on 05/11/2021

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Experiment 2 ~ Projectile Motion
Purpose:
In this experiment, you will study projectile motion, and see how to separate the motion of a
projectile into its x and y components.
Two photographs (a double exposure) using a digital camera and strobe light illumination will
enable you to get a picture of the trajectory of a ball as it is tossed between you and your lab
partner. One of the exposures will show you a grid from which you can calculate the ball’s
position; the other exposure will show you the ball’s trajectory. The combined exposures will
show you the ball at various instants during its trajectory superimposed on the grid. You can then
compare the measured trajectory with what you would expect based on the equations discussed
in class.
Equipment:
Strobe light, Digital camera and printer, 100cm X 100cm grid, black felt cover, golf ball, and
flash drive (optional)
Procedure:
You and your lab partner should practice tossing the ball back and forth before you have the lab
instructor take the photograph. Make sure that the ball’s trajectory arches completely within the
grid – not going above the top of the grid, and not traveling in a straight line horizontally across
the grid.
Two pictures will be taken by the lab instructor. The first will be of just the grid, with the
room lights on. The second photograph will be superimposed over the first, and taken with the
overhead lights out and strobe light on. The shutter on the camera will be held open while you
toss the ball in front of the grid. The photo will then show the ball’s trajectory, i.e., its position
at equal time intervals, (1/flash rate), superposed on the grid. A good photo should have at least
five clearly defined images.
Be sure to record the flash rate from the strobe light! (It should be 14 -17 flashes/second).
The photo will be sent to the printer and a digital copy can be stored on your thumb drive to be
printed in your lab report.
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Experiment 2 ~ Projectile Motion

Purpose:

In this experiment, you will study projectile motion, and see how to separate the motion of a projectile into its x and y components. Two photographs (a double exposure) using a digital camera and strobe light illumination will enable you to get a picture of the trajectory of a ball as it is tossed between you and your lab partner. One of the exposures will show you a grid from which you can calculate the ball’s position; the other exposure will show you the ball’s trajectory. The combined exposures will show you the ball at various instants during its trajectory superimposed on the grid. You can then compare the measured trajectory with what you would expect based on the equations discussed in class.

Equipment:

Strobe light, Digital camera and printer, 100cm X 100cm grid, black felt cover, golf ball, and flash drive (optional)

Procedure:

You and your lab partner should practice tossing the ball back and forth before you have the lab instructor take the photograph. Make sure that the ball’s trajectory arches completely within the grid – not going above the top of the grid, and not traveling in a straight line horizontally across the grid. Two pictures will be taken by the lab instructor. The first will be of just the grid, with the room lights on. The second photograph will be superimposed over the first, and taken with the overhead lights out and strobe light on. The shutter on the camera will be held open while you toss the ball in front of the grid. The photo will then show the ball’s trajectory, i.e., its position at equal time intervals, (1/flash rate), superposed on the grid. A good photo should have at least five clearly defined images. Be sure to record the flash rate from the strobe light! (It should be 14 - 17 flashes/second). The photo will be sent to the printer and a digital copy can be stored on your thumb drive to be printed in your lab report.

The two illustrations below show what the results should look like in theory (left), and an example of a real picture (right). Theory! Real life! (This photo is a bit overexposed....)

Analysis:

  1. Use the photo to find the x and y coordinates of the center of each image of the ball. Put the origin, (0, 0) in the lower left corner. The entire grid is 1m x 1m, with major divisions every 10cm, and further divisions every cm. Enter your measurements in the X and Y columns below. Remember to convert from centimeters to meters! Data Table 1 Flash Rate (s-^1 ) __________ Position # X (m) Y (m) VX (m/s) VY (m/s) AX (m/s^2 ) AY (m/s^2 ) 1 2 3 4 5 6 7 8 9 10
  2. Calculate average speed for each data point. Remember the definitions of average speed in the x and y directions: vx = Δx/Δt and vy = Δy/Δt. Calculate vx and vy from your recorded x and y position values. Be sure to use consecutive positions. (Think about it: Why must you use consecutive positions? Why do we say “average speed” rather than average velocity in this case?) Enter your calculated values in the table. Remember that your Δt is 1/ (flash rate).

Questions:

  1. Explain why the first row of calculated average speeds, and the first two rows of calculated average accelerations, are blank.
  2. What forces are acting on the ball while it is in flight?
  3. What value did you expect to get for ax? Why?
  4. Calculate the average and standard deviation for your value of ax.
  5. What value did you expect to get for ay? Why?
  6. Calculate the average and standard deviation for your value of ay.
  7. Calculate the percent error between your value of ay (the average value you just calculated) and your predicted value of ay (your answer to question 5).
  8. Describe possible sources of random error in the experiment.
  9. Describe possible sources of systematic error in the experiment.
  10. Suppose you had done the experiment with ping pong balls rather than golf balls. Might you have gotten different results? Why or why not?