Questions: The ~ speed of a particle is the ratio of the arc length traveled to the elapsed time, and the speed of a particle is the ratio of the change in the central angle to the elapsed time.

The ~ speed of a particle is the ratio of the arc length traveled to the elapsed time, and the speed of a particle is the ratio of the change in the central angle to the elapsed time.

Transcript text: The - Select- $\sim$ speed of a particle is the ratio of the arc length traveled to the elapsed time, and the - Select $-\checkmark$ speed of a particle is the ratio of the change in the central angle to the elapsed time.

Solution

Solution Steps

Step 1: Understanding the Problem

The problem asks us to fill in the blanks with appropriate terms related to the speed of a particle. We need to identify the types of speed described by the given definitions.

Step 2: Analyzing the Definitions

The first definition describes speed as the ratio of the arc length traveled to the elapsed time. This is the definition of linear speed.
The second definition describes speed as the ratio of the change in the central angle to the elapsed time. This is the definition of angular speed.

Final Answer

The linear speed of a particle is the ratio of the arc length traveled to the elapsed time, and the angular speed of a particle is the ratio of the change in the central angle to the elapsed time.

\[ \boxed{\text{Linear speed, Angular speed}} \]

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