Difference between revisions of "009A Sample Midterm 3, Problem 2"

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<span class="exam">The position function <math>s(t)=-4.9t^2+200</math> gives the height (in meters) of an object that has fallen from a height of 200 meters. The velocity at time <math>t=a</math> seconds is given by:
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<span class="exam">Sketch the graph of &nbsp;<math style="vertical-align: -4px">f.</math>&nbsp; At each point of discontinuity, state whether &nbsp;<math style="vertical-align: -4px">f</math>&nbsp; is left or right continuous.
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::::::<math>\lim_{t\rightarrow a} \frac{s(t)-s(a)}{t-a}</math>
 
  
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::<math>f(x)=\begin{array}{cc}
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  \Bigg\{ &
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    \begin{array}{cc}
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      x^3+1 & x\leq 0 \\
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      -x+1 & 0< x< 2 \\
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      -x^2+10x-15 & x\ge 2
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    \end{array}
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\end{array}</math>
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::<span class="exam">a) Find the velocity of the object when <math>t=3</math>
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[[009A Sample Midterm 3, Problem 2 Solution|'''<u>Solution</u>''']]
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::<span class="exam">b) At what velocity will the object impact the ground?
 
  
  
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[[009A Sample Midterm 3, Problem 2 Detailed Solution|'''<u>Detailed Solution</u>''']]
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'''Solution:'''
 
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[[009A_Sample_Midterm_3|'''<u>Return to Sample Exam</u>''']]
 
[[009A_Sample_Midterm_3|'''<u>Return to Sample Exam</u>''']]

Latest revision as of 16:51, 11 November 2017

Sketch the graph of    At each point of discontinuity, state whether    is left or right continuous.

Solution


Detailed Solution


Return to Sample Exam

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