A car is moving on a road and rain is falling vertically. Select the correct answer.

Options

A. the rain will strike the back screen only
B. the rain will strike the front screen only
C. the rain will strike both the screens
D. the rain will not strike any of the screens.

Explanation

To solve the problem of determining where the rain will strike a moving car, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Situation**:
- We have a car moving horizontally on a road with a velocity \( v \).
- Rain is falling vertically downwards.

2. **Visualizing the Scenario**:
- Draw a diagram:
- Represent the car moving to the right (horizontal direction).
- Show vertical arrows representing the rain falling straight down.

3. **Analyzing Relative Motion**:
- To understand where the rain strikes the car, we need to consider the relative velocity of the rain with respect to the car.
- The velocity of the rain is \( V_r \) (downward), and the velocity of the car is \( V_c \) (horizontal).

4. **Calculating the Relative Velocity**:
- The relative velocity of the rain with respect to the car can be found using vector addition.
- The rain's velocity vector points downward, while the car's velocity vector points horizontally.
- By reversing the direction of the car's velocity vector (since we are considering it from the car's perspective), we can visualize the resultant vector.

5. **Resultant Velocity Direction**:
- The resultant velocity \( V' \) of the rain with respect to the car will be a diagonal vector pointing towards the front of the car.
- This means the rain appears to be coming from a direction that is not purely vertical but at an angle towards the front of the car.

6. **Conclusion on Rain Impact**:
- Since the resultant velocity of the rain with respect to the car is directed towards the front, the rain will strike the front windshield of the car.
- Therefore, the rain will not hit the back screen but will strike the front screen.

### Final Answer:
The correct answer is that the rain will strike the **front screen only**.

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