Measuring Time of Flight

MATERIALS NEEDED:
  • a racquet and tennis ball.
  • a VCR that can be paused and advanced one frame at a time.
  • a stopwatch

STEPS TO FOLLOW:

one Videotape someone serving. Try and get the entire flight of the ball in the camera frame. Watch the serve carefully, and try to start the stopwatch at the moment the server hits the ball, and stop it when the other player hits the return. Record your result.

two Rewind the tape to the start of the serve, and repeat this measurement several more times. How do your results compare? Do you think this is an accurate measurement?

three Pause the tape at the start of the serve, just before the server swings. Advance one frame at a time, until the racket makes contact with the ball. Now step through the event, until the ball bounces on the court, counting the number of frames. Record the number of frames that the ball is in the air.

four Now count the number of frames that it takes the ball to reach the other player's racket. Record this number.

five Video is broadcast at almost exactly 30 frames per second. This means that the time between frames is 1/30th of a second. Calculate the time that the ball is in the air before the bounce, and the time between the bounce and the return.

six What is the total time between the serve and the return? How does this measurement compare to the one that you made with the stopwatch? Which do you think is more accurate?

seven (For this experiment, the whole class will work together as a large group. The more people there are in the group the more accurate it will be. For a smaller number of people (less than 15), you can simply go around the group several times to get more accurate information). The entire group should sit in a circle, facing outwards. Arrange yourselves so that you can see the right hand of the person to your left. The rule is this: when you see your neighbor's index finger rise in a signal, immediately raise your index finger as well. This signal will propagate around the group, from left to right, and you will be able to measure the time it takes to go all the way around. From this you can calculate the average reaction time per person for the eye-brain-finger transmission. One person should be holding the stopwatch and start the signal and the stopwatch at the same time. When they get the signal from the person to their left, they should immediately stop the stopwatch. The time that it has measured is the sum of all of the reaction times of the group. Divide by the number of people, and you have the average reaction time of your group. What is the average reaction time of people in your group?

eight Think about how your reaction affected the accuracy of the stopwatch measurements.

nine Think about how your reaction time compares to the time that a professional player has to get to the ball and set up their return hit.


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Last modified: Sat Dec 6 21:12:40 PST 1997

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