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  Session: Introductory Labs/Apparatus
  Paper Type: Contributed
  Title: Using Kinematic Equations to Design and Control Linear Motions
  Meeting: 2015 Summer Meeting: College Park, Maryland
  Location: N/A
  Date:
  Time: 5:10PM
  Author: Frederick J. Thomas, Math Machines
937-832-0792, fred.thomas@mathmachines.net
  Co-Author(s): None
  Abstract: A simple-to-construct motorized cart can move in response to functions entered in forms such as “x = x0 + v0*t + .5*a*t^2”, “v = v0 + a*t”, “x = 200*sin(pi(2)*t/10)” and more. Classroom uses include an algebra-driven extension to kinesthetic Graph Match activities with motion sensors. Other activities engage students in applying kinematic equations to engineering-style tasks, such as “Design a sequence of equations to make the cart carry an upright AA battery from one end of the track to the other as quickly as possible without the battery falling over.” Building instructions, software, and classroom activities will be distributed.
  Footnotes: *Supported in part by NSF’s Advanced Technological Education Program through grant DUE-1003381. More information is available at www.mathmachines.net.
  Presentation: AAPT-MathMachSession.pptx

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