in $$ \mathrm{m} / \mathrm{s} $$ ? 2. If a moving car has an average speed of $$ 75 \mathrm{~km} / \mathrm{h} $$, how far can it travel in 45 minutes? Express your answer in kilometers and in meters.

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UpStudy AI · Accepted Answer

Sure, let's tackle both parts of your question step by step.

### 1. Converting $$ 75 \, \mathrm{km/h} $$ to $$ \mathrm{m/s} $$

To convert kilometers per hour (km/h) to meters per second (m/s), you can use the following conversion factor:

$$
1 \, \mathrm{km/h} = \frac{1000 \, \mathrm{m}}{3600 \, \mathrm{s}} = \frac{5}{18} \, \mathrm{m/s}
$$

**Calculation:**

$$
75 \, \mathrm{km/h} \times \frac{5}{18} \, \mathrm{m/s} = \frac{375}{18} \, \mathrm{m/s} \approx 20.83 \, \mathrm{m/s}
$$

**Result:**

$$
75 \, \mathrm{km/h} \approx 20.83 \, \mathrm{m/s}
$$

---

### 2. Calculating the Distance Traveled in 45 Minutes

Given:
- **Speed ($$ v $$)**: $$ 75 \, \mathrm{km/h} $$
- **Time ($$ t $$)**: 45 minutes

First, convert the time from minutes to hours to keep the units consistent.

$$
45 \, \text{minutes} = \frac{45}{60} \, \text{hours} = 0.75 \, \text{hours}
$$

**Distance Formula:**

$$
\text{Distance} = \text{Speed} \times \text{Time}
$$

**Calculation:**

$$
\text{Distance} = 75 \, \mathrm{km/h} \times 0.75 \, \text{h} = 56.25 \, \mathrm{km}
$$

To convert kilometers to meters:

$$
56.25 \, \mathrm{km} = 56.25 \times 1000 \, \mathrm{m} = 56,250 \, \mathrm{m}
$$

**Results:**
- **Kilometers:** $$ 56.25 \, \mathrm{km} $$
- **Meters:** $$ 56,250 \, \mathrm{m} $$

---

### Summary

1. **Speed Conversion:**
   $$
   75 \, \mathrm{km/h} \approx 20.83 \, \mathrm{m/s}
   $$
   
2. **Distance Traveled in 45 Minutes:**
   $$
   56.25 \, \mathrm{km} \quad \text{or} \quad 56,250 \, \mathrm{m}
   $$

If you have any further questions or need additional explanations, feel free to ask!
To convert 75 km/h to m/s, multiply by 5/18, which gives approximately 20.83 m/s. For a car traveling at 75 km/h, in 45 minutes (0.75 hours), it can cover 56.25 kilometers or 56,250 meters.

in ?
2. If a moving car has an average speed of , how far can it travel in
45 minutes? Express your answer in kilometers and in meters.

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in ? 2. If a moving car has an average speed of , how far can it travel in 45 minutes? Express your answer in kilometers and in meters.