Today in Calculus Notes: Position – Velocity – Acceleration

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Presentation transcript:

Today in Calculus Notes: Position – Velocity – Acceleration AP Test Registration Go over quiz

Differentiate Integrate Position Velocity Acceleration

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.

shuffling along a horizontal s-axis for 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 Larry’s initial position is 9. What is Larry’s position after 2 sec? c) What is Larry’s position after 5 seconds? d) Find the total distance traveled by Larry during the five seconds. What was Larry’s speed at 2 seconds? What is Larry’s acceleration at 4 seconds?

Homework Pg 371: 1, 3, 8, 9, 17