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
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Author:James Stewart
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Chapter1: Functions And Models
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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 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:
Transcribed Image Text: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:
Expert Solution
Step 1: Concept used in the solution

If f(t) is the position function then the average velocity over [a,b] isfraction numerator f open parentheses b close parentheses minus f open parentheses a close parentheses over denominator b minus a end fraction.

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