Part1 - Analysis ofposition vs time graph

1. From the positionvs.time (x-t) graphs forRuns 1identify:

Where the cart was rolling freelyup the ramp

Where the cart was farthestfromits initial position

Where the cart was rolling freely down the ramp

Highlight andmarks theseregions in the corresponding position vs time graph.

Lab 3 run 1 Time Position Velocity (s) (m) (m/s) 0 0.238 Time: 3.25 s 0.05 0.238 Position Slope: OE+00 m/s 0.1 0.238 0.15 0.238 X 0.2 0.239 0.8 Auto Fit for: Lab 3 run 1 | Position CO OO V O UT A W N 0.25 0.239 P = A*T^2+BT+C 0.3 0.239 A: -0.08027 +/- 0.0005043 0.35 0.239 B: 0.5365 +/- 0.002875 0.4 0.238 C: -0.04861+/- 0.003625 10 0.45 0.239 Correlation: 0.9992 11 0.5 0.241 RMSE: 0.005895 m 12 0.55 0.245 13 0.6 0.253 14 0.65 0.266 15 0.7 0.282 0.6 16 0.75 0.301 17 0.8 0.323 Position (m) 18 0.85 0.343 19 0.9 0.364 20 0.95 0.384 Statistics for: Lab 3 run 1 | Position 21 0.403 min: 0.2380 at 0 max: 0.8430 at 3.150 22 1.05 0.422 X _ mean: 0.6385 median: 0.7260 23 1.1 0.441 Linear Fit for: Lab 3 run 1 | Position std. dev: 0.2128 samples: 101 24 1.15 0.459 P = mT+b AP: 0.605 25 1.2 0.477 0.4 - m (Slope): 0.1162 m/s 26 1.25 0.495 b (Y-Intercept): 0.3480 m 27 1.3 0.512 Correlation: 0.7999 28 1.35 0.529 RMSE: 0.1283 m 29 1.4 0.545 30 1.45 0.56 31 1.5 0.576 32 1.55 0.591 33 1.6 0.606 34 1.65 0.62 35 1.7 0.636 0.2 36 1.75 0.65 0 2 3 4 37 18 0667 (3.239, 0.851) Time (s)