A sled accelerates down a hill and then slows down after it reaches a flat portion of ground. The speed of the sled \( s(t) \) (in ft/sec) at a time \( t \) (in sec) after movement begins can be approximated by: \[ s(t) = \begin{cases} 0.5t & \text{for } 0 \leq t \leq 60 \\ \frac{70}{t - 59} & \text{for } 60 < t \leq 80 \end{cases} \] Determine the speed of the sled after 30 sec, 60 sec, 70 sec, and 80 sec. Round to 1 decimal place if necessary. Part 0 / 4 Part 1 of 4 The speed of the sled is \(\underline{\ \ \ }\) ft/sec after 30 sec. **Speed of Sled Calculation: Educational Exercise** In this exercise, you are tasked with calculating the speed of a sled at different time intervals. The exercise is divided into four parts, as described below: 1. **Speed Calculation after 60 Seconds** - *Prompt*: "The speed of the sled is ___ ft/sec after 60 sec." - *Action Required*: Fill in the speed. 2. **Progress Bar: Part 2 of 4** - This indicates you are working on the second part of four total tasks. The progress bar shows partial completion. 3. **Speed Calculation after 70 Seconds** - *Prompt*: "The speed of the sled is ___ ft/sec after 70 sec." - *Action Required*: Fill in the speed. 4. **Progress Bar: Part 3 of 4** - Indicates progress in the third part of the task sequence with further completion shown in the progress bar. 5. **Speed Calculation after 80 Seconds** - *Prompt*: "The speed of the sled is ___ ft/sec after 80 sec." - *Action Required*: Fill in the speed. 6. **Progress Bar: Part 4 of 4** - Final stage. Once this is completed, you can move forward by clicking "Continue." **Note**: Ensure to calculate or estimate the sled's speed accurately at each time interval. This exercise helps understand changes in velocity over time.
A sled accelerates down a hill and then slows down after it reaches a flat portion of ground. The speed of the sled \( s(t) \) (in ft/sec) at a time \( t \) (in sec) after movement begins can be approximated by: \[ s(t) = \begin{cases} 0.5t & \text{for } 0 \leq t \leq 60 \\ \frac{70}{t - 59} & \text{for } 60 < t \leq 80 \end{cases} \] Determine the speed of the sled after 30 sec, 60 sec, 70 sec, and 80 sec. Round to 1 decimal place if necessary. Part 0 / 4 Part 1 of 4 The speed of the sled is \(\underline{\ \ \ }\) ft/sec after 30 sec. **Speed of Sled Calculation: Educational Exercise** In this exercise, you are tasked with calculating the speed of a sled at different time intervals. The exercise is divided into four parts, as described below: 1. **Speed Calculation after 60 Seconds** - *Prompt*: "The speed of the sled is ___ ft/sec after 60 sec." - *Action Required*: Fill in the speed. 2. **Progress Bar: Part 2 of 4** - This indicates you are working on the second part of four total tasks. The progress bar shows partial completion. 3. **Speed Calculation after 70 Seconds** - *Prompt*: "The speed of the sled is ___ ft/sec after 70 sec." - *Action Required*: Fill in the speed. 4. **Progress Bar: Part 3 of 4** - Indicates progress in the third part of the task sequence with further completion shown in the progress bar. 5. **Speed Calculation after 80 Seconds** - *Prompt*: "The speed of the sled is ___ ft/sec after 80 sec." - *Action Required*: Fill in the speed. 6. **Progress Bar: Part 4 of 4** - Final stage. Once this is completed, you can move forward by clicking "Continue." **Note**: Ensure to calculate or estimate the sled's speed accurately at each time interval. This exercise helps understand changes in velocity over time.
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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Question
![A sled accelerates down a hill and then slows down after it reaches a flat portion of ground. The speed of the sled \( s(t) \) (in ft/sec) at a time \( t \) (in sec) after movement begins can be approximated by:
\[
s(t) = \begin{cases}
0.5t & \text{for } 0 \leq t \leq 60 \\
\frac{70}{t - 59} & \text{for } 60 < t \leq 80
\end{cases}
\]
Determine the speed of the sled after 30 sec, 60 sec, 70 sec, and 80 sec. Round to 1 decimal place if necessary.
Part 0 / 4
Part 1 of 4
The speed of the sled is \(\underline{\ \ \ }\) ft/sec after 30 sec.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe92e694a-8dce-4f5c-a0b3-7db66cedb1e5%2F235620a6-baac-420e-8a1d-61d93d8228eb%2Fbesd4k.jpeg&w=3840&q=75)
Transcribed Image Text:A sled accelerates down a hill and then slows down after it reaches a flat portion of ground. The speed of the sled \( s(t) \) (in ft/sec) at a time \( t \) (in sec) after movement begins can be approximated by:
\[
s(t) = \begin{cases}
0.5t & \text{for } 0 \leq t \leq 60 \\
\frac{70}{t - 59} & \text{for } 60 < t \leq 80
\end{cases}
\]
Determine the speed of the sled after 30 sec, 60 sec, 70 sec, and 80 sec. Round to 1 decimal place if necessary.
Part 0 / 4
Part 1 of 4
The speed of the sled is \(\underline{\ \ \ }\) ft/sec after 30 sec.
Transcribed Image Text:**Speed of Sled Calculation: Educational Exercise**
In this exercise, you are tasked with calculating the speed of a sled at different time intervals. The exercise is divided into four parts, as described below:
1. **Speed Calculation after 60 Seconds**
- *Prompt*: "The speed of the sled is ___ ft/sec after 60 sec."
- *Action Required*: Fill in the speed.
2. **Progress Bar: Part 2 of 4**
- This indicates you are working on the second part of four total tasks. The progress bar shows partial completion.
3. **Speed Calculation after 70 Seconds**
- *Prompt*: "The speed of the sled is ___ ft/sec after 70 sec."
- *Action Required*: Fill in the speed.
4. **Progress Bar: Part 3 of 4**
- Indicates progress in the third part of the task sequence with further completion shown in the progress bar.
5. **Speed Calculation after 80 Seconds**
- *Prompt*: "The speed of the sled is ___ ft/sec after 80 sec."
- *Action Required*: Fill in the speed.
6. **Progress Bar: Part 4 of 4**
- Final stage. Once this is completed, you can move forward by clicking "Continue."
**Note**: Ensure to calculate or estimate the sled's speed accurately at each time interval. This exercise helps understand changes in velocity over time.
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