Martin

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The Amazing Power of the Derivative in
Velocity Functions
Michelle Martin Period 4 AP 26
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A. Write an expression for the velocity v(t) of
the particle.
B. Write an expression for the position x(t).
C. For what values of t is the particle moving to
the right? Justify your answer.
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Solving the Problem
Numerically
Graphically
Analytically
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Part A Writing the Velocity Function
Solution
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Part B Writing the Position Function
Solution
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Part C Studying Direction of Movement
Solution
No critical values
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Part D Finding Total Distance Traveled
What is the integral of "one over cabin" with
respect to "cabin"?Answer Natural log cabin c
houseboat.
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Part D Finding Total Distance Traveled Part Deux
Distance 4.1416 units
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The End