Use your acceleration vs. time graphs to sketch instantaneous velocity vs. time graphs for a light and heavy ball using the same scale for the time axes. Write down an equation 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?  Can any of the constants be determined from the equations representing the acceleration vs. time graphs?  Use your velocity vs. time graphs to sketch instantaneous position vs. time graphs for each case using the same scale for the time axes. Write down an equation 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?  Can any of these constants be determined from the equations representing the acceleration vs. time or velocity vs. time graphs?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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  1. Sketch a graph of instantaneous acceleration vs. time for a falling ball.  Next to this graph sketch a graph of instantaneous acceleration vs. time for a heavier falling ball that has the same size and shape.  Explain your reasoning for each graph.  Write down an equation for each graph.  If there are constants in your equation, what kinematic quantities do they represent?  How would you determine these constants from your graph?
  2. Use your acceleration vs. time graphs to sketch instantaneous velocity vs. time graphs for a light and heavy ball using the same scale for the time axes. Write down an equation 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?  Can any of the constants be determined from the equations representing the acceleration vs. time graphs? 
  3. Use your velocity vs. time graphs to sketch instantaneous position vs. time graphs for each case using the same scale for the time axes. Write down an equation 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?  Can any of these constants be determined from the equations representing the acceleration vs. time or velocity vs. time graphs?

*SOLVE 2 and 3*

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