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Today in Calculus

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... graph moving away from axis speed increasing. cm/sec is the velocity of Larry the Leprechaun shuffling along a horizontal s-axis for a) ... – PowerPoint PPT presentation

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Title: Today in Calculus


1
Today in Calculus
  • Notes Position Velocity Acceleration
  • AP Test Registration
  • Go over quiz

2
Differentiate
Integrate
  • Position
  • Velocity
  • Acceleration

3
Things to remember
  • Position at end of interval Position at
    beginning of interval
  • Total distance traveled
  • Direction can change only when v(t) 0
  • Speed v(t)
  • If v(t) and a(t) have same signs, speed
    increasing
  • If v(t) graph moving away from axis speed
    increasing.

4
cm/sec is the velocity of Larry the Leprechaun
shuffling along a horizontal s-axis for
  • a) Describe the motion of Larry.
  • b) Suppose that Larrys initial position is 9.
    What is Larrys position after 2 sec?
  • c) What is Larrys position after 5 seconds?
  • d) Find the total distance traveled by Larry
    during the five seconds.
  • What was Larrys speed at 2 seconds?
  • What is Larrys acceleration at 4 seconds?

5
Homework
  • Pg 371 1, 3, 8, 9, 17
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