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Suppose an arrow is shot upward on a certain planet with an intial height of 1.3 meters and an initial velocity of 60 m/s. Then its height in meters after t seconds is given by h(t) = 60t -6.3t² + 1.3. A) First, graph the function h(t) with Desmos (with an appropriate window for the situation - not too big and not too small) and print it out or make a hand-drawn and NEAT graph of the function h(t). Make sure there is a numerical scale on both axes. The graph should be neat enough and labeled enough (you'll need to add those labels by hand) so that someone looking at your graph can clearly answer the questions, "Approximately when does the arrow reach the highest point?" or "What is the approximate maximum height the arrow reaches?" or "Approximately when does the arrow hit the ground?" You are NOT being asked to answer these questions, but if someone were to look at your graph, they would easily be able to. Next, draw the tangent line to the curve at t = 6 seconds. (Don't do any math please really just draw it with your hand or use a line in an art program if you want to use a computer). Then, choose two points on that tangent line that are far apart from each other, clearly label them on your graph, and find the slope of that tangent line that you drew. Upload a picture of your beautiful graph with your tangent line and two points here: Edit Insert Formats BI U X₂ X²A A 15 m

Suppose an arrow is shot upward on a certain planet with an intial height of 1.3 meters and an initial velocity of 60 m/s. Then its height in meters after t seconds is given by h(t) = 60t -6.3t² + 1.3. A) First, graph the function h(t) with Desmos (with an appropriate window for the situation - not too big and not too small) and print it out or make a hand-drawn and NEAT graph of the function h(t). Make sure there is a numerical scale on both axes. The graph should be neat enough and labeled enough (you'll need to add those labels by hand) so that someone looking at your graph can clearly answer the questions, "Approximately when does the arrow reach the highest point?" or "What is the approximate maximum height the arrow reaches?" or "Approximately when does the arrow hit the ground?" You are NOT being asked to answer these questions, but if someone were to look at your graph, they would easily be able to. Next, draw the tangent line to the curve at t = 6 seconds. (Don't do any math please really just draw it with your hand or use a line in an art program if you want to use a computer). Then, choose two points on that tangent line that are far apart from each other, clearly label them on your graph, and find the slope of that tangent line that you drew. Upload a picture of your beautiful graph with your tangent line and two points here: Edit Insert Formats BI U X₂ X²A A 15 m

Calculus: Early Transcendentals
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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Could you also please show work for the velocity find the velocity using calculus?

Suppose an arrow is shot upward on a certain planet with an intial height of 1.3 meters and an initial velocity of 60 m/s. Then its height in meters after t seconds is given by h(t) = 60t - 6.3t² + 1.3. A) First, graph the function h(t) with Desmos (with an appropriate window for the situation - not too big and not too small) and print it out or make a hand-drawn and NEAT graph of the function h(t). Make sure there is a numerical scale on both axes. The graph should be neat enough and labeled enough (you'll need to add those labels by hand) so that someone looking at your graph can clearly answer the questions, "Approximately when does the arrow reach the highest point?" or "What is the approximate maximum height the arrow reaches?" or "Approximately when does the arrow hit the ground?" You are NOT being asked to answer these questions, but if someone were to look at your graph, they would easily be able to. Next, draw the tangent line to the curve at t = 6 seconds. (Don't do any math please - really just draw it with your hand or use a line in an art program if you want to use a computer). Then, choose two points on that tangent line that are far apart from each other, clearly label them on your graph, and find the slope of that tangent line that you drew. Upload a picture of your beautiful graph with your tangent line and two points here: Edit ▾ Insert Formats BIUX₂ X² A 로블로 EVE DE 曲︾ Σ+ Σ Α
Transcribed Image Text:Suppose an arrow is shot upward on a certain planet with an intial height of 1.3 meters and an initial velocity of 60 m/s. Then its height in meters after t seconds is given by h(t) = 60t - 6.3t² + 1.3. A) First, graph the function h(t) with Desmos (with an appropriate window for the situation - not too big and not too small) and print it out or make a hand-drawn and NEAT graph of the function h(t). Make sure there is a numerical scale on both axes. The graph should be neat enough and labeled enough (you'll need to add those labels by hand) so that someone looking at your graph can clearly answer the questions, "Approximately when does the arrow reach the highest point?" or "What is the approximate maximum height the arrow reaches?" or "Approximately when does the arrow hit the ground?" You are NOT being asked to answer these questions, but if someone were to look at your graph, they would easily be able to. Next, draw the tangent line to the curve at t = 6 seconds. (Don't do any math please - really just draw it with your hand or use a line in an art program if you want to use a computer). Then, choose two points on that tangent line that are far apart from each other, clearly label them on your graph, and find the slope of that tangent line that you drew. Upload a picture of your beautiful graph with your tangent line and two points here: Edit ▾ Insert Formats BIUX₂ X² A 로블로 EVE DE 曲︾ Σ+ Σ Α
Upload a picture of your beautiful graph with your tangent line and two points here: Edit▾ Insert Formats ▾ BIU X₂ X² A 블 He What were your two points that you chose on the tangent line (that are clearly marked on your graph that you just uploaded)? and Σ+ Σ Α And the slope of the tangent line using those two points is: m B) Now remember that the slope of the tangent line at a point is actually the velocity of the arrow at that point. Go ahead and use calculus to find the velocity of the arrow at t = 6 seconds. The velocity of the arrow at t = 6 seconds is meters per second. (By the way, your answer here should be close to the answer for the slope of the tangent line above. Your instructor wanted you to actually practice drawing a picture to check your answer. Of course, it most likely won't be equal because you estimated the slope of the tangent line above.) And please upload your work for finding this velocity, using calculus.
Transcribed Image Text:Upload a picture of your beautiful graph with your tangent line and two points here: Edit▾ Insert Formats ▾ BIU X₂ X² A 블 He What were your two points that you chose on the tangent line (that are clearly marked on your graph that you just uploaded)? and Σ+ Σ Α And the slope of the tangent line using those two points is: m B) Now remember that the slope of the tangent line at a point is actually the velocity of the arrow at that point. Go ahead and use calculus to find the velocity of the arrow at t = 6 seconds. The velocity of the arrow at t = 6 seconds is meters per second. (By the way, your answer here should be close to the answer for the slope of the tangent line above. Your instructor wanted you to actually practice drawing a picture to check your answer. Of course, it most likely won't be equal because you estimated the slope of the tangent line above.) And please upload your work for finding this velocity, using calculus.
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