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The problem you uploaded involves calculating the minimum speed at which a car must travel to avoid water splashing onto the rear window. Here is the breakdown of the information provided:

1. **Wind speed** = 20 km/h
2. **Rainfall speed** = 5 km/h
3. The car has an angle of inclination in the front of **45°** and in the rear of **60°**.

We can approach this problem by analyzing the relative motion of the rain and wind with respect to the car's velocity, and considering the angles involved. The aim is to find the critical speed \( V_c \) of the car where the rain will not touch the rear window.

### Step-by-step approach:

1. **Break down the components**: 
    - Rain and wind combine into a relative motion vector.
    - Using trigonometric analysis, we calculate the relative velocity components along the car's direction and perpendicular to it.
    
2. **Analyze for critical speed \( V_c \)**: 
    The key question here is how fast the car should go such that the rain won't reach the rear at a \( 60° \) angle due to the wind.

Now, let me calculate this based on the given conditions.The critical speed \( V_c \) that the car must maintain to avoid rain splashing onto the rear window at a \(60^\circ\) angle is approximately:

- \(0.80 \, \text{m/s}\)
- \(2.89 \, \text{km/h}\)

However, based on the provided answer choices, none of the options directly match this value. It appears the problem might be asking for a scenario where a higher speed is necessary due to additional factors, possibly related to wind or how rain is angled with respect to the front and rear windows.

Would you like to explore further details or clarifications? 

### Related Questions:
1. How does wind direction affect the splash speed calculations?
2. What is the effect of changing the angles to 50° and 70°?
3. How would the critical speed change if the wind speed increased to 30 km/h?
4. Can we calculate the splash distance at various speeds?
5. What trigonometric identities are applied in determining the splash angle?

**Tip**: Always convert units when dealing with speeds and angles to maintain consistency across calculations.

গাড়ি সামনের কাঁচ আনুভূমিকের সাথে ৪৫° কোণে আছে ও পিছনের কাঁচ ৬০° কোণে আছে। বাতাসের বেগ ২০ km/h এবং বৃষ্টির বেগ ৫ km/h । গাড়ির বেগ কত হলে পিছনের কাঁচ ভিজবে না?

Learn how to calculate the speed of a car to avoid rain splashing on the rear window. This problem involves relative velocity, trigonometric functions, and vector analysis. Suitable for high school students, Grades 10-12.

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