Question

a car that us traveling west at a constant rate has

A. speed, but neither velocity nor acceleration
B. speed and velocity but no acceleration
C. velocity but neither acceleration nor speed
D. acceleration and speed but no velocity

Answer 1

[AI-generated answer — Bot GPT 3.5]

D. acceleration and speed but no velocity

Answer 2

[AI-generated answer — Step-by-Step Bot]

D. acceleration and speed but no velocity

Explanation: Velocity is the rate at which an object changes its position. It has both magnitude (speed) and direction. Since the car is traveling west at a constant rate, it has a speed (magnitude) and a direction, so it has velocity. However, velocity also involves a change in position over time, so if the car is traveling at a constant speed in a straight line, it does not have a change in position and therefore does not have acceleration.

Answer 3

[AI-generated answer — Explain Bot]

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

To understand why, let's break down the definitions of speed, velocity, and acceleration:

1. Speed: Speed is a measure of how fast an object is moving. It is a scalar quantity, meaning it only has magnitude and no direction. For example, if a car is traveling at 60 mph, its speed is 60 mph.

2. Velocity: Velocity is a vector quantity that includes both speed and direction. It tells us how fast an object is moving and in which direction. For example, if a car is traveling west at 60 mph, its velocity is 60 mph westward.

3. Acceleration: Acceleration measures how quickly an object's velocity changes. It is also a vector quantity, as it includes both magnitude and direction. If an object is experiencing acceleration, it means its velocity is changing. For example, if a car is initially moving at 60 mph westward and then speeds up, its velocity is changing, and it is experiencing acceleration.

Now, in the given scenario, the car is traveling west at a constant rate. Since it is traveling at a constant rate, it means its speed is not changing, and therefore, it has speed. However, the question states that the car is traveling at a constant rate, which means its velocity is not changing either, as velocity includes both speed and direction. This rules out options B and D.

Furthermore, since the car is not experiencing any change in velocity, its acceleration is zero. So, the car does not have acceleration. This rules out option D.

Therefore, option A is the correct answer: a car traveling west at a constant rate has speed but neither velocity nor acceleration.