A car that is traveling west at a constant rate has

speed and velocity, but no acceleration.

velocity, but neither acceleration nor speed.

acceleration and speed, but no velocity.

speed, but neither velocity nor acceleration.

The correct answer is: speed, but neither velocity nor acceleration.

A car that is traveling west at a constant rate has velocity, but neither acceleration nor speed.

The correct answer is: speed, but neither velocity nor acceleration.

To understand why, let's first define these terms:

1. Speed: It is the measure of how quickly an object is moving. It is a scalar quantity and is defined as the distance traveled per unit of time.

2. Velocity: It is the measure of the rate at which an object changes its position in a particular direction. Velocity is a vector quantity, which means it has both magnitude (speed) and direction.

3. Acceleration: It is the measure of how quickly an object changes its velocity. Acceleration is also a vector quantity and is defined as the rate of change of velocity per unit of time.

Now, let's analyze the given scenario: a car traveling west at a constant rate. Since it is traveling at a constant rate, it means its speed remains constant, which satisfies the condition of having speed.

However, velocity requires not only speed but also a specific direction. In this case, as the car is only moving west, it has a direction, and therefore it has velocity. Therefore, the first option "velocity, but neither acceleration nor speed" is incorrect.

Acceleration, on the other hand, refers to a change in velocity. In this scenario, the car is not changing its velocity as it is traveling at a constant rate. Hence, the option "acceleration and speed, but no velocity" is incorrect.

Therefore, the correct answer is "speed, but neither velocity nor acceleration."