S 7. A particle moves along a horizontal line. Let a (t) = 4 cost + 2 sint be the acceleration function. Let = 0 be the initial position, and let v (0) = 0 be the initial velocity. Determine the velocity function v (t) and the position function s (t). 8 A stone dropped from the top of the Willis Tower follows position functions (t) = 16+²+1450 where

Calculus: Early Transcendentals
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Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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7. A particle moves along a horizontal line. Let a (t) = 4 cost + 2 sin t be the acceleration function. Let
s (0) = 0 be the initial position, and let v (0) = 0 be the initial velocity.
Determine the velocity function v (t) and the position function s (t).
8 A stone dropped from the top of the Willis Tower follows position function s (t) = 16+² + 1450 where
Transcribed Image Text:7. A particle moves along a horizontal line. Let a (t) = 4 cost + 2 sin t be the acceleration function. Let s (0) = 0 be the initial position, and let v (0) = 0 be the initial velocity. Determine the velocity function v (t) and the position function s (t). 8 A stone dropped from the top of the Willis Tower follows position function s (t) = 16+² + 1450 where
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