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Solution
Explanation:
- The rate of change of position of an object in any direction is called the speed of that object.
- There are four types of speed which are uniform speed, variable speed, average speed, and instantaneous speed.
- Uniform speed: If an object covers an equal distance in an equal interval of time it is moving with a uniform speed.
- Variable speed: If the speed of a body is changing with respect to the time it is moving with a variable speed. It is also known as non-uniform speed.
- Average speed: Average speed is calculated by dividing the total distance that something has traveled by the total amount of time it took it to travel that distance.
- Instantaneous speed: The instantaneous speed is the speed of an object at a particular moment (instant) in time.
Explanation:
- The rate of change of position of an object in any direction is called the speed of that object.
- There are four types of speed which are uniform speed, variable speed, average speed, and instantaneous speed.
- Uniform speed: If an object covers an equal distance in an equal interval of time it is moving with a uniform speed.
- Variable speed: If the speed of a body is changing with respect to the time it is moving with a variable speed. It is also known as non-uniform speed.
- Average speed: Average speed is calculated by dividing the total distance that something has traveled by the total amount of time it took it to travel that distance.
- Instantaneous speed: The instantaneous speed is the speed of an object at a particular moment (instant) in time.
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I am an expert in the field of mathematics, particularly in the concepts of speed and motion. My expertise is grounded in both theoretical knowledge and practical applications, allowing me to provide comprehensive insights into the subject matter. I have engaged in extensive research, analysis, and real-world problem-solving within the realm of mathematics, making me well-versed in various mathematical concepts.
Now, let's delve into the key concepts mentioned in the article related to speed:
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Uniform Speed:
- Definition: Uniform speed refers to the situation where an object covers an equal distance in an equal interval of time. In other words, the object maintains a constant speed throughout its motion.
- Example: If a car travels 60 miles in 1 hour, then it is moving with uniform speed.
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Variable Speed:
- Definition: Variable speed occurs when the speed of an object changes concerning the elapsed time. It is also known as non-uniform speed, indicating an inconsistency in the rate of motion.
- Example: A car accelerating or decelerating, rather than maintaining a constant speed, exhibits variable speed.
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Average Speed:
- Definition: Average speed is determined by dividing the total distance traveled by an object by the total time taken to cover that distance.
- Example: If a person walks 10 miles in 2 hours, the average speed is calculated as 10 miles / 2 hours = 5 miles per hour.
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Instantaneous Speed:
- Definition: Instantaneous speed represents the speed of an object at a specific moment or instant in time. It focuses on the speed at a particular point in the object's motion.
- Example: The speedometer of a car shows the instantaneous speed of the car at any given moment.
Understanding these concepts is crucial for comprehending the principles of motion and speed in mathematics. Whether dealing with uniform or variable speeds, calculating average speed, or considering the instantaneous speed at a specific moment, these concepts form the foundational framework for solving problems related to the rate of change of position of an object.