Day 26: Capstone analysis of the Air Track videos

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Today we began analyzing the recorded videos of the car motion on the air track from Tuesday. Similar to the free-falling object analysis, we began by importing the video to Capstone, then changing the frame increment & playback frame rate, and eventually marking the car positions until it reaches the other end. We know that the slope (acceleration) of the graph Velocity vs Time graph can be used to calculate the experimental g as follow:

a (slope) = g sin θ
g = slope / sin θ

Figure 1. Snapshot of the video analysis of car motion on an air track when θ = 1.5°. To the right is the velocity vs time graph, with the displayed slope of 0.252 m/s2.
As you see in figure 1, the acceleration found when θ was 1.5° was 0.252 m/s2. Using the equations above, we calculated the experimental gravitational acceleration to be 9.63 m/s2. We will continue to analysis the rest of the videos tomorrow and compare these values to the calculations done by hand.

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