Thursday, November 19, 2015

CAPM Challenge 1

For this lab, Hank, Ally & I worked on a slanted table with one side propped up by books. Two meter sticks were placed along the side of the table and chalk was used to mark the ball's distance. A metronome clicked every half second and that signaled a chalk mark on the desk. In total we collected 2 trials.
When we created our graph we quickly realized that it was not linear. We had to linearize it in order to create a prediction and in order to do that, the x values were squared (time). To predict the position of the car at 4 seconds, we squared 4 and plugged that in for x in the equation. Slope=1/2 the acceleration. To find the acceleration, multiply the slope by 2.
Position=7.056 (16)+6.0772
Prediction: 118.9733 cm

Position=1/2a(t^2)
A=7.056m/s^2=14.112m/s^2
A=14.112m/s^2


Time Trial 1 Trial 3
0.5 6 5
1 13 14.5
1.5 22 22.5
2 34.5 37
2.5 51 55
3 69 77
3.5 92 98


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