A particle moves along the x-axis and is defined as x(t) = f(y² - 8y-9) dy, where x(t) is measured in feet over t seconds. (a) Find x(0) and x (3). (b) At what time(s) is the particle changing direction for values of for t≥ 0? Justify your answer. (c) What is the total distance traveled by the particle from t=0 to t = 3? (d) Is the particle's speed increasing or decreasing at t=3? Justify your answer. (e) What is the average velocity of the particle from t = 0 to t = 3? (f) What is the average acceleration of the particle from / = 0 tot = 3?
A particle moves along the x-axis and is defined as x(t) = f(y² - 8y-9) dy, where x(t) is measured in feet over t seconds. (a) Find x(0) and x (3). (b) At what time(s) is the particle changing direction for values of for t≥ 0? Justify your answer. (c) What is the total distance traveled by the particle from t=0 to t = 3? (d) Is the particle's speed increasing or decreasing at t=3? Justify your answer. (e) What is the average velocity of the particle from t = 0 to t = 3? (f) What is the average acceleration of the particle from / = 0 tot = 3?
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
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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