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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