**Constant Velocity
of a Train **

Obj: Measure
distance and time of moving object; graphically analyze its motion.

**Equipment**: 60 Hz timer, train

**Methods*** *

1*. *Attach the
paper tape to the train, then thread it through the timer beneath the carbon
paper.

2. Turn the timer on and run the
train down the track for 1-3 s *or* 1-2 m.

3. Record the markings as
described for distance (cm) and time (0.1 s) on a data table. Avoid the beginning and end of the tape where
the train may be accelerating/decelerating.

4. Plot an accurate distance vs.
time graph. Calculate the slope.

5.* Sketch* a simple velocity
vs. time graph of the train’s motion.

**Analysis**

1. Compare the average speed of
the train [total distance/total time] with the slope of the d-t graph.

2. Write an equation relating v,
d, and t.

3. Calculate the area under the
sketched v-t line. Compare with the
total distance you measured.

4. Using the speed of the train
determined from your slope, calculate:

a) the distance (in meters) the train would travel in 5.0 min.

b) the time required to travel 100 m.

5. Summary.

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