Two fan carts are in a race. Fan cart A has a uniform acceleration of 5 (cm/s)/s, and starts the race at + 50 cm from the origin, from rest (initial velocity of 0 cm/s). Fan cart B starts at the origin (0 cm) and from rest. You have the following position and time data for fan cart B. t (s) x (cm) 0.0 0.0 1.0 5.0 2.0 20.0 3.0 45.0 4.0 80.0 5.0 125.0 6.0 180.0 Determine to the nearest centimeter where fan cart B will pass fan cart A (where they are at the same position in cm). Include in your submission: 1 Graph showing the position v. time of both fan carts. Math model for BOTH fancarts (Position in cm = ....) Slope sentence and vertical intercept sentence for one of the fan carts. Another model of your choice (test plot, velocity-time graph, motion map, etc.).

Two fan carts are in a race. Fan cart A has a uniform acceleration of 5 (cm/s)/s, and starts the race at + 50 cm from the origin, from rest (initial velocity of 0 cm/s). Fan cart B starts at the origin (0 cm) and from rest. You have the following position and time data for fan cart B. t (s) x (cm) 0.0 0.0 1.0 5.0 2.0 20.0 3.0 45.0 4.0 80.0 5.0 125.0 6.0 180.0 Determine to the nearest centimeter where fan cart B will pass fan cart A (where they are at the same position in cm). Include in your submission: 1 Graph showing the position v. time of both fan carts. Math model for BOTH fancarts (Position in cm = ....) Slope sentence and vertical intercept sentence for one of the fan carts. Another model of your choice (test plot, velocity-time graph, motion map, etc.).

t (s)	x (cm)
0.0	0.0
1.0	5.0
2.0	20.0
3.0	45.0
4.0	80.0
5.0	125.0
6.0	180.0