Average - AP Calculus - Lecture Notes, Study notes of Calculus

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Calculus Section 2.2C Notes LT: Determine Average Rate of Change @ Determined by the equation... ~ total change average rate of change = ———__———__ 4 f g lenth of interval * Derivative: instantaneous rate of change 1) Find the average rate of change of the function over the indicated interval. Compare to the instantaneous rates of change at the endpoints of the interval. AVE ROG Se f(t) =t?-3; [2,21] €(20 -£() Iw “Tan teereaus als ' Ate A e Ola @.\ (= Ga) €'Q2. maa LT: Understand the Relationship between Position & Velocity e Position is typically represented by the function s(t) where t is time. e Velocity is typically represented by the function v(t) where t is time. e vt) is the derivative of s(t)... v(t) = s'(t) e Notation... oO So = initial position O Vo= initial velocity 2) A ball is thrown straight down from the top of a 220-foot building with an initial velocity of -22 feet per second. What is its velocity after 3 seconds? What is its velocity after falling 108 att =| Hf Ties! s(t) = —16f? + vt + 5, rea vie) = —32t +e v(3) =-32@)-22. ~ uaa) WA = -16t"- 2264220 Gt ~+ 22E — [OH =O =e s@ies) 4) v2) ==330)-22 seg Gt"+ It - SY=O 1/1