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To solve part (a) of this problem, which asks for the vertical velocity of the car as it strikes the ground, we can use the following approach:

### Problem Breakdown:
1. The car drives off a height of 10.00 m.
2. It lands 4.60 m horizontally from the base of the wall.
3. We need to calculate the final vertical velocity as it reaches the ground.

Since the car falls due to gravity in the vertical direction, we can treat this as a free-fall motion problem in the vertical axis.

### Solution:

#### Step 1: Vertical Motion Calculation
For vertical motion:
- Initial vertical velocity, \( v_{y0} = 0 \) (since it drives horizontally off the edge).
- Displacement, \( y = -10.00 \, \text{m} \) (downward).
- Acceleration due to gravity, \( g = 9.8 \, \text{m/s}^2 \).

Using the kinematic equation:
\[
v_y^2 = v_{y0}^2 + 2gy
\]
Since \( v_{y0} = 0 \):
\[
v_y = \sqrt{2 \cdot g \cdot |y|} = \sqrt{2 \cdot 9.8 \cdot 10.0} = \sqrt{196} = 14 \, \text{m/s}
\]

### Answer:
The vertical velocity of the car as it strikes the ground is **14 m/s downward**.

Would you like further details or have additional questions on this solution?

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Here are five related questions that can help deepen your understanding of projectile motion:

1. How can we determine the horizontal velocity of the car given the distance it traveled horizontally?
2. What is the total time the car was in the air before it landed?
3. How can we find the resultant (combined) velocity of the car as it strikes the ground?
4. How would the vertical velocity change if the height of the wall was increased?
5. If air resistance were considered, how would that affect the car's horizontal and vertical velocities?

**Tip:** In projectile motion, horizontal and vertical motions are independent of each other, so they can be analyzed separately.

A remote-control car with a constant velocity drives off the top of a wall that is 10.00 m in height and lands 4.60 m from the base of the wall. a) What is the vertical velocity of the car as it strikes the ground?

Learn how to calculate the vertical velocity of a remote-control car as it strikes the ground after driving off a 10.00 m high wall and landing 4.60 m from the base. This solution covers projectile motion and kinematic equations in free-fall motion.

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