If a rock is thrown upward on the Moon with an initial velocity of 43 meters per second and from initial height of 1.8 meters, then its height, in meters, t seconds later is given by the function h(t) = 1.8 + 43t - 0.81t² A. Determine the average velocity of the rock over the time interval [3, 3.5]. Input the numerical value. Include appropriate units on paper. Average velocity over [3, 3.5]: B. Using successively smaller time intervals, estimate the instantaneous velocity of the rock at t = 3. Input the numerical value. Include appropriate units on paper. Instantaneous velocity at t = 3:
If a rock is thrown upward on the Moon with an initial velocity of 43 meters per second and from initial height of 1.8 meters, then its height, in meters, t seconds later is given by the function h(t) = 1.8 + 43t - 0.81t² A. Determine the average velocity of the rock over the time interval [3, 3.5]. Input the numerical value. Include appropriate units on paper. Average velocity over [3, 3.5]: B. Using successively smaller time intervals, estimate the instantaneous velocity of the rock at t = 3. Input the numerical value. Include appropriate units on paper. Instantaneous velocity at t = 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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If f(t) is the position function then the average velocity over [a,b] is.
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