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Difference and connection between instantaneous speed and instantaneous rate
The difference and connection between instantaneous speed and instantaneous speed are as follows:

Difference:

1, vector and scalar: the most obvious difference is that instantaneous velocity is a vector with magnitude and direction, while instantaneous velocity is a scalar with magnitude only.

2. Direction of motion: the instantaneous speed is related to the direction of motion of the object, including the speed and direction information of the object; Instantaneous velocity only pays attention to the speed of motion, regardless of direction.

3. Application field: Instantaneous velocity is common in multidimensional motion and curvilinear motion, because it can be used to describe the instantaneous displacement of objects in different directions; Instantaneous velocity is mainly used for one-dimensional motion, such as linear motion.

Contact person:

Although instantaneous velocity and instantaneous velocity are different in description and application fields, they are essentially concepts to describe the motion speed of objects. In one-dimensional linear motion, instantaneous velocity and instantaneous velocity are equal, because they have only magnitude and no direction. Only in multi-dimensional or curvilinear motion, instantaneous velocity will contain the direction information of motion, which is different from instantaneous velocity.

Instantaneous speed:

Instantaneous velocity refers to the ratio of the instantaneous position change of an object at a certain moment to the instantaneous time interval. Simply put, it describes the instantaneous displacement of an object at a certain moment. The mathematical expression of instantaneous velocity can be expressed by the following formula:

Instantaneous velocity (v)= displacement (δx)/ time interval (δ t)

Instantaneous velocity is a vector with magnitude and direction. Therefore, the instantaneous velocity not only tells us the speed of the object, but also includes the direction information of the object.

Instantaneous rate:

Instantaneous velocity refers to the ratio of instantaneous distance to instantaneous time interval of an object at a certain moment. It is usually used to describe the speed of an object along a straight line in one-dimensional motion. The mathematical expression of instantaneous rate can be expressed by the following formula:

Instantaneous rate (v)= distance (Δ x)/time interval (Δ t)

The instantaneous rate is a scalar, with only magnitude and no direction. It mainly pays attention to the speed of the object's movement, and does not involve the specific direction of the movement.