In particular, the velocity at 0.5s is 1.62 m/s – less than the velocity (2.38 m/s) of the shorter time (0.42s). In fact, it is reasonable that the exception is repeated in both graphs, demonstrating the mutual relationships between these quantities. Specifically, the slope of Graph 1 (distance over time) indicates the velocity, while the slope of Graph 2 (velocity over time) signifies the acceleration of the motion. The velocity is used in the equation to determine acceleration, therefore, the graphs end up looking similar to each other (both trend lines tend to increase when moving rightward).
The standard deviation for velocity is calculated to be 2.26 ± 0.8023 m/s. On the other hand, the standard deviation for acceleration is 5.566 ± 0.4453 m/s2. In addition to that, the accelerations from each testing height are also compared to the theoretical acceleration (9.8 m/s2). The lowest percent error (36.22%) comes from the lowest testing distance (0.25 m). Furthermore, the lower testing heights (0.25 m, 0.5m, 1.0 m) tend to have the lower percent error