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:
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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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:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffdc4bd04-a070-4f0a-8c81-81114a590c8c%2F53ce39b4-5656-4408-84e1-c9ef5c9f32a8%2Ffji5cnb_processed.png&w=3840&q=75)
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:
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