183_notes:examples:positionpredict

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183_notes:examples:positionpredict [2014/07/11 13:45] – [Setup] caballero183_notes:examples:positionpredict [2024/01/31 16:37] (current) – [Setup] caballero
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 ===== Example: Predicting the location of a object undergoing constant velocity motion ===== ===== Example: Predicting the location of a object undergoing constant velocity motion =====
  
-A cart is given a slight push along a near frictionless track (as shown in the video below). After the push, the cart is observed to move with a near constant velocity $\vec{v}_{cart} =\langle 1.2, 0, 0 \rangle \dfrac{m}{s}$. Determine its location after 3 seconds.+A cart is given a slight push along a near frictionless track (as shown in the video below). 
  
 +{{ youtube>sdjsaxLfevQ?large }}
 +
 +After the push, the cart is observed to move with a near constant velocity $\vec{v}_{cart} =\langle 1.2, 0, 0 \rangle \dfrac{m}{s}$. Determine its location after 3 seconds.
 ==== Setup ==== ==== Setup ====
  
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   * The location of the cart can be predicted using the position update formula, $\vec{r}_f = \vec{r}_i + \vec{v}_{avg} \Delta t$   * The location of the cart can be predicted using the position update formula, $\vec{r}_f = \vec{r}_i + \vec{v}_{avg} \Delta t$
   * The motion of the cart is represented using the following motion diagram.   * The motion of the cart is represented using the following motion diagram.
-{{url>http://www.pa.msu.edu/~caballero/teaching/simulations/FanCartConstantVelocity.html 700px,600px|Simulation of Fan Cart moving with Constant Velocity}}+{{url>https://glowscript.org/#/user/danny/folder/Shared/program/FanCarConstantVelocity 660px,420px|Simulation of Fan Cart moving with Constant Velocity}}
    
 ==== Solution ==== ==== Solution ====
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  • Last modified: 2014/07/11 13:45
  • by caballero