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Sketch a graph of how you would expect an instantaneous acceleration vs. time graph to look for a cart released from rest on an inclined track.  Next to this graph, sketch a new graph of the acceleration vs. time for a cart with a much larger mass.  Explain your reasoning.  Write down the equation(s) that best represent each of these graphs.  If there are constants in your equation, what kinematic quantities do they represent?  How would you determine these constants from your graph?

Sketch a graph of how you would expect an instantaneous acceleration vs. time graph to look for a cart released from rest on an inclined track.  Next to this graph, sketch a new graph of the acceleration vs. time for a cart with a much larger mass.  Explain your reasoning.  Write down the equation(s) that best represent each of these graphs.  If there are constants in your equation, what kinematic quantities do they represent?  How would you determine these constants from your graph?

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  1. Sketch a graph of how you would expect an instantaneous acceleration vs. time graph to look for a cart released from rest on an inclined track.  Next to this graph, sketch a new graph of the acceleration vs. time for a cart with a much larger mass.  Explain your reasoning.  Write down the equation(s) that best represent each of these graphs.  If there are constants in your equation, what kinematic quantities do they represent?  How would you determine these constants from your graph? 
  2. Sketch a graph of instantaneous velocity vs. time for each case. Use the same scale for the time axes as the acceleration graphs. Write down the equation(s) for each graph.  If there are constants in your equations, what kinematic quantities do they represent?  How would you determine these constants from your graph? 
  3. Now do the same for position vs. time.  Can any of the constants in your functions be determined from the equations representing the acceleration vs. time or velocity vs. time graphs?
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