please write ✍️ clean and readable Hello! I need your help ASAP. Please look at my calculus questions about velocity and average. I had attached the questions below. (Note please answer ALL questions 1-8) * in the pictures below it doesn't show number 8. So I will type that question here ? Question 8). From 3 hrs to 4 hrs , what is the sign of the velocity and sign of acceleration? What is the happening in that time interval. Thank you 3. Over what interval(s) of time is velocity negative? What does this mean in thisscenario?4. Over what interval(s) of time is velocity positive? What does this mean in this..scenario?5. What time(s) is velocity zero and what is happening then?6. Find the acceleration function.7. From 4 hours to 5 hours, what is the sign of velocity and sign of acceleration?What is happening in that time interval? The Situation: We will begin time at the moment you leave your classroom on campus.The classroom is 5 miles from your home. You are tired since you just finished takingyour calculus test and you pedal your bicycle in the opposite direction from home for awhile. Later you turn around and head toward home again, but since you aredehydrated, you end up turning around again a short time later. After 5 hours you stop.Let s(t) be your distance (in miles) from home at time t (hours).s(t) = t³ - 8t² + 16t+5This position function is graphed next and linked in Desmos for your convenience.15-1050--10-1523451. Find and interpret s(0) and s(5). Be sure to use measurement units. Label thesepoints on the graph.

Answered: 3. Over what interval(s) of time is…

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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please write ✍️ clean and readable

Hello! I need your help ASAP. Please look at my calculus questions about velocity and average. I had attached the questions below. (Note please answer ALL questions 1-8)

* in the pictures below it doesn't show number 8. So I will type that question here ?

Question 8). From 3 hrs to 4 hrs , what is the sign of the velocity and sign of acceleration? What is the happening in that time interval.

Thank you

3. Over what interval(s) of time is velocity negative? What does this mean in this
scenario?
4. Over what interval(s) of time is velocity positive? What does this mean in this..
scenario?
5. What time(s) is velocity zero and what is happening then?
6. Find the acceleration function.
7. From 4 hours to 5 hours, what is the sign of velocity and sign of acceleration?
What is happening in that time interval?

The Situation: We will begin time at the moment you leave your classroom on campus.
The classroom is 5 miles from your home. You are tired since you just finished taking
your calculus test and you pedal your bicycle in the opposite direction from home for a
while. Later you turn around and head toward home again, but since you are
dehydrated, you end up turning around again a short time later. After 5 hours you stop.
Let s(t) be your distance (in miles) from home at time t (hours).
s(t) = t³ - 8t² + 16t+5
This position function is graphed next and linked in Desmos for your convenience.
15
-10
5
0
--10
-15
2
3
4
5
1. Find and interpret s(0) and s(5). Be sure to use measurement units. Label these
points on the graph.

Expert Solution

Step 1: Part (1) - Finding the value of s(0) and s(5) and plotting in the graph:

“Since you have posted a question with multiple sub parts, we will provide the solution only to the first three sub parts as per our Q&A guidelines. Please repost the remaining sub parts separately.”

$The space distance space function space is space given space by comma straight s left parenthesis straight t right parenthesis space equals space straight t cubed space minus space 8 straight t squared space plus space 16 straight t space plus space 5 Putting space straight t space equals space 0 comma straight s left parenthesis 0 right parenthesis space equals space space 0 cubed space minus space 8 left parenthesis 0 right parenthesis squared space plus space 16 left parenthesis 0 right parenthesis space plus space 5 space straight s left parenthesis 0 right parenthesis space equals space 5 space miles Putting space straight t space equals space 5 comma straight s left parenthesis 5 right parenthesis space equals space space left parenthesis 5 right parenthesis cubed space minus space 8 left parenthesis 5 right parenthesis squared space plus space 16 left parenthesis 5 right parenthesis space plus space 5 straight s left parenthesis 5 right parenthesis space equals space 125 space minus space 200 space plus space 80 space plus space 5 space equals space 210 space minus space 200 straight s left parenthesis 5 right parenthesis space equals space 10 space miles$

Plotting the points in the graph:

The points are (0, 5) and (5, 10).