Question
12. How much time will it take for a bug to travel 10 meters across the floor if it is traveling at \( 2 \mathrm{~m} / \mathrm{s} \) ? 13. If a car travels 400 m North in 20 seconds, what is its velocity? 14. If you move 50 meters in 10 seconds West, what is your velocity?
Ask by Jimenez Flynn. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
- It takes 5 seconds for the bug to travel 10 meters.
- The car's velocity is 20 meters per second North.
- The velocity is 5 meters per second West.
Solution
Sure, let's tackle each of your questions one by one with detailed explanations.
---
### **12. How much time will it take for a bug to travel 10 meters across the floor if it is traveling at \( 2 \, \mathrm{m/s} \)?**
**Solution:**
To find the time it takes for the bug to travel a certain distance, you can use the basic formula:
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\]
**Given:**
- **Distance (d)** = 10 meters
- **Speed (v)** = 2 meters/second
**Calculation:**
\[
\text{Time} = \frac{10 \, \text{m}}{2 \, \text{m/s}} = 5 \, \text{seconds}
\]
**Answer:**
It will take **5 seconds** for the bug to travel 10 meters.
---
### **13. If a car travels 400 meters North in 20 seconds, what is its velocity?**
**Solution:**
Velocity is a vector quantity, which means it has both magnitude and direction. To determine the velocity, use the formula:
\[
\text{Velocity} = \frac{\text{Displacement}}{\text{Time}}
\]
**Given:**
- **Displacement (s)** = 400 meters North
- **Time (t)** = 20 seconds
**Calculation:**
\[
\text{Velocity} = \frac{400 \, \text{m North}}{20 \, \text{s}} = 20 \, \text{m/s North}
\]
**Answer:**
The car's velocity is **20 meters per second North**.
---
### **14. If you move 50 meters in 10 seconds West, what is your velocity?**
**Solution:**
Again, since velocity includes both magnitude and direction, we'll apply the same formula:
\[
\text{Velocity} = \frac{\text{Displacement}}{\text{Time}}
\]
**Given:**
- **Displacement (s)** = 50 meters West
- **Time (t)** = 10 seconds
**Calculation:**
\[
\text{Velocity} = \frac{50 \, \text{m West}}{10 \, \text{s}} = 5 \, \text{m/s West}
\]
**Answer:**
Your velocity is **5 meters per second West**.
---
**Summary of Answers:**
12. **5 seconds**
13. **20 meters per second North**
14. **5 meters per second West**
If you have any further questions or need additional explanations, feel free to ask!
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Mind Expander
Did you know that in physics, understanding velocity not only helps explain motion but also enables engineers to design safer vehicles and transportation systems? For example, knowing a vehicle's velocity allows for the calculation of braking distances, making sure that safety measures are up to par! When calculating these types of problems, a common mistake is forgetting to include the direction when determining velocity. Velocity is a vector quantity, which means that it includes both speed (how fast) and direction (which way). So, saying you traveled "50 meters" is just distance; to be correct, you'd need to specify it was “50 meters West” to cover velocity accurately!
