Motion Equations:
![Picture](/uploads/3/8/7/7/38775223/7677430.png?184)
In verbal form, this would be: "Final Velocity Squared = Initial Velocity Squared + Twice the Acceleration Times the Change in Final and Initial Position." Substituting the variables with the numbers that we have come up with gives us this: 75 = 2.25 × 33.33, and further calculation displays this as correct.
Graphs
The following two graphs below display the cart's position and velocity against time, which are to the left and right, respectively.
![Picture](/uploads/3/8/7/7/38775223/5529119.png)
The position is steadily increasing in a hyperbolic arc, and over the course of a couple of seconds, the cart rolls down the ramp, covering a long distance, as evidenced by the left.
![Picture](/uploads/3/8/7/7/38775223/6366143.png)
The velocity, however, is consistently progressing in a linear movement, despite the few negative lapses that you see, which are just errors in the Tracker program's calculation of the cart's slide.