Kinematics &ndash; Velocity and Acceleration formal lab

# Kinematics – Velocity and Acceleration formal lab...

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Matt Darling TA: Darren Getts 101L-03 Kinematics – Velocity and Acceleration Throughout the lab the relationships between position, velocity, and acceleration were explored. The purpose was to see first hand how these three quantities relate both mathematically and with real world applications. Position, velocity, and acceleration are related through derivations and integrations meaning that one is a measure of the degree of change in another. Velocity measures the change in position or the slope of the position versus time graph and is commonly shown as and acceleration measures the change in velocity or the slope of the velocity. It is usually shown in the form . The lab used simple occurrences such as a falling ball to show how these quantities can relate and how they apply to all facets of every day life. This lab utilized DataStudio ® software and hardware to track and graph the movements of either a thrown ball of a falling object. There were two parts to the lab. In the first a motion detector was used as a ball was thrown vertically above it. The detector tracked the position velocity and acceleration of the ball over time and displayed them on the DataStudio ® graphs. The ball was thrown multiple times until accurate data was gathered meaning that the position graph followed a parabolic arc for the ball. Certain quantities were marked in the graphs such as the velocity at the balls highest position and initial velocity. The software was then used to fit lines to the graphs so they could be more easily examined. A quadratic fit was used for the position graph and a linear fit was used for velocity. Once the graphs were generated accurately the slope and other properties of the lines were compared and used to prove mathematical relationships between position, velocity, and acceleration.

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