2. Contrast the metric units of distance, time, and speed. Describe the relationship between them.

To contrast the metric units of distance, time, and speed, we first need to understand their individual definitions and then examine the relationship between them.

1. Distance: Distance is a measure of how far apart two objects or points are. In the metric system, the basic unit of distance is the meter (m). Other commonly used metric units for distance include kilometer (km), centimeter (cm), and millimeter (mm).

2. Time: Time is a measurement of the duration between two events or moments. In the metric system, the basic unit of time is the second (s). Longer durations are measured in minutes (min) or hours (h).

3. Speed: Speed refers to how fast an object is moving in relation to a particular reference point. It is defined as the distance traveled per unit of time. The metric unit for speed is meters per second (m/s), which signifies the distance covered in one second.

Now, let's discuss the relationship between these metric units:

1. Distance and Time: When measuring the relationship between distance and time, we can use the concept of speed. Speed is calculated by dividing the distance covered by the time taken. This relationship is expressed by the formula:

Speed = Distance / Time

For example, if an object travels a distance of 100 meters in 10 seconds, the speed would be:

Speed = 100 m / 10 s = 10 m/s

2. Speed and Time: The relationship between speed and time is an inverse one. If the speed remains constant, as the duration of time increases, the distance covered will also increase proportionally. Conversely, if the duration of time taken for a fixed distance decreases, the speed will increase.

For example, if an object travels a distance of 200 meters in 20 seconds, the speed would be:

Speed = 200 m / 20 s = 10 m/s (same as before)

However, if the same distance of 200 meters is covered in only 10 seconds, the speed would be:

Speed = 200 m / 10 s = 20 m/s (higher speed)

In summary, distance, time, and speed are interconnected in the metric system. Speed is the ratio of distance to time, while distance and time have an inverse relationship that affects the value of speed.