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?

Question

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Sure, let's tackle each of your questions one by one with detailed explanations.

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### **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!
- 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.

How much time will it take for a bug to travel 10 meters across the floor if it
is traveling at ?

If a car travels 400 m North in 20 seconds, what is its velocity?

If you move 50 meters in 10 seconds West, what is your velocity?

Upstudy AI Solution

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