A rock thrown vertically upward at a velocity of 24 m/sec reaches a height of s(t) = 24t - 0.8t meters in t seconds. a. Find the velocity function for the flight of the rock. b. Find the acceleration function for the flight of the rock. c. How long did it take for the rock to reach its maximum height?
A rock thrown vertically upward at a velocity of 24 m/sec reaches a height of s(t) = 24t - 0.8t meters in t seconds. a. Find the velocity function for the flight of the rock. b. Find the acceleration function for the flight of the rock. c. How long did it take for the rock to reach its maximum height?
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 46SE: Near the surface of the moon, the distance that an object falls is a function of time. It is given...
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A rock thrown vertically upward at a velocity of 24 m/sec reaches a height of
![A rock thrown vertically upward at a velocity of 24 m/sec reaches a height of s(t) = 24t - 0.8t
meters in t seconds.
a. Find the velocity function for the flight of the rock.
b. Find the acceleration function for the flight of the rock.
c. How long did it take for the rock to reach its maximum height?
d. What was the maximum height?
e. What was the average velocity for the interval [5.5, 7.5]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F014d5b35-f9b5-4acb-9356-d3f0a372278c%2Fe418ec01-308e-4e98-b05a-7da112a7fa18%2Ffgtl21_processed.png&w=3840&q=75)
Transcribed Image Text:A rock thrown vertically upward at a velocity of 24 m/sec reaches a height of s(t) = 24t - 0.8t
meters in t seconds.
a. Find the velocity function for the flight of the rock.
b. Find the acceleration function for the flight of the rock.
c. How long did it take for the rock to reach its maximum height?
d. What was the maximum height?
e. What was the average velocity for the interval [5.5, 7.5]
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![A rock thrown vertically upward at a velocity of 24 m/sec reaches a height of s(t) = 24t -
meters in t seconds.
0.8t²
a. What was the maximum height?
b. What was the average velocity for the interval [5.5, 7.5]](https://content.bartleby.com/qna-images/question/014d5b35-f9b5-4acb-9356-d3f0a372278c/4bb8cb01-e1a9-4a12-bf45-deac9bf7e119/387ek7b_processed.jpeg)
Transcribed Image Text:A rock thrown vertically upward at a velocity of 24 m/sec reaches a height of s(t) = 24t -
meters in t seconds.
0.8t²
a. What was the maximum height?
b. What was the average velocity for the interval [5.5, 7.5]
Solution
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