Can anyone please tell me the definition of Time, Speed, and Velocity please?

Answer 1

See below

Time, which has a unit of one second and is one of the Seven Base physical quantities that are distinct in nature and cannot be expressed in the form of other quantities, is an observed phenomenon associated with an infinite record of changes occurring in the known environment and universe. Time is used to define other quantities.

In the past, space and time have been intimately associated. In Einstein's theories of relativity, these two merged to form the spacetime continuum.

Before defining Speed and Velocity we must first understand Distance or Displacement. When an object changes its position from a location #A# to another location #B#, the distance or the displacement has two attributes. Amount of change and direction of change. As such it is a vector quantity and is denoted as #vecd=|vecd|hatr# where #|vecd| and hatr# are the magnitude or the scalar part and unit direction vector respectively.
Now the rate of change of its position is called Velocity. As such it is also a vector quantity. It is denoted as #vecv#.

Furthermore, an object's speed is its magnitude of velocity; since speed is a scalar quantity, it changes to velocity once its direction is indicated.

In terms of math,

Speed #v = | vec v | = | dot vecr | = | (dvec r)/ (d t) |# where it is magnitude of the derivative of the position vector #vecr# with respect to time
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Answer 2

Sure, here are the definitions:

  • Time: Time is a measurement that defines the duration between two events, or the interval during which something occurs.

  • Speed: Speed is a scalar quantity that measures how fast an object is moving. It is defined as the distance traveled per unit of time.

  • Velocity: Velocity is a vector quantity that measures both the speed and direction of an object's motion. It is defined as the rate of change of displacement with respect to time.

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Answer 3

Certainly:

  1. Time: Time is a fundamental quantity used to measure the duration of events or intervals between them. It is often represented in units such as seconds, minutes, hours, days, etc. Time is a concept that helps us understand the sequence of events and their duration in the universe.

  2. Speed: Speed is a measure of how quickly an object moves through space. It is defined as the distance traveled by an object per unit of time. Mathematically, speed is calculated as ( \text{Speed} = \frac{\text{Distance}}{\text{Time}} ). Speed is a scalar quantity, meaning it only has magnitude and no direction associated with it.

  3. Velocity: Velocity is similar to speed but differs in that it includes the direction of motion. It is a vector quantity, meaning it has both magnitude and direction. Velocity is defined as the rate of change of displacement with respect to time. Mathematically, velocity is calculated as ( \text{Velocity} = \frac{\text{Displacement}}{\text{Time}} ). Velocity indicates not only how fast an object is moving but also in what direction it is moving.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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