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Which of the following are obtained by dividing total displacement by total time taken?
- a)Average velocity
- b)Instantaneous velocity
- c)Uniform velocity
- d)Speed
Correct answer is option 'A'. Can you explain this answer?
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Which of the following are obtained by dividing total displacement by ...
The average velocity is obtained by dividing total displacement by total time taken. Instantaneous velocity is calculated at an instant and not over a period of time. Speed is distance divided by time. Velocity is said to be uniform when velocity at every instant is equal to the average velocity.
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Which of the following are obtained by dividing total displacement by ...
Answer:
To understand the given question, let's first define the terms involved:
- Average velocity: Average velocity is defined as the displacement divided by the total time taken. It gives an overall measure of the rate of change of position over a given time interval. Average velocity takes into account both the magnitude and direction of displacement.
- Instantaneous velocity: Instantaneous velocity is the velocity of an object at a specific point in time. It is calculated by taking the derivative of the position function with respect to time. Instantaneous velocity represents the rate of change of position at an exact moment, and it considers both magnitude and direction.
- Uniform velocity: Uniform velocity is a type of motion where an object moves in a straight line with a constant velocity. This means that the object covers equal displacements in equal intervals of time. The magnitude and direction of the velocity remain constant throughout the motion.
- Speed: Speed is a scalar quantity that represents the rate at which an object covers a distance. It is calculated by dividing the total distance traveled by the total time taken. Unlike velocity, speed does not take into account the direction of motion.
Now, let's analyze the options given:
a) Average velocity: The definition of average velocity matches with the given statement. Average velocity is obtained by dividing the total displacement (change in position) by the total time taken. Therefore, option 'a' is correct.
b) Instantaneous velocity: Instantaneous velocity is not obtained by dividing the total displacement by total time taken. It represents the velocity at a specific point in time, and it involves taking the derivative of the position function with respect to time. Therefore, option 'b' is incorrect.
c) Uniform velocity: Uniform velocity is characterized by constant magnitude and direction. It is not obtained by dividing the total displacement by total time taken. Therefore, option 'c' is incorrect.
d) Speed: Speed is obtained by dividing the total distance traveled by total time taken. It does not take into account the direction of motion. Therefore, option 'd' is incorrect.
In conclusion, the correct answer is option 'a' - Average velocity.
To understand the given question, let's first define the terms involved:
- Average velocity: Average velocity is defined as the displacement divided by the total time taken. It gives an overall measure of the rate of change of position over a given time interval. Average velocity takes into account both the magnitude and direction of displacement.
- Instantaneous velocity: Instantaneous velocity is the velocity of an object at a specific point in time. It is calculated by taking the derivative of the position function with respect to time. Instantaneous velocity represents the rate of change of position at an exact moment, and it considers both magnitude and direction.
- Uniform velocity: Uniform velocity is a type of motion where an object moves in a straight line with a constant velocity. This means that the object covers equal displacements in equal intervals of time. The magnitude and direction of the velocity remain constant throughout the motion.
- Speed: Speed is a scalar quantity that represents the rate at which an object covers a distance. It is calculated by dividing the total distance traveled by the total time taken. Unlike velocity, speed does not take into account the direction of motion.
Now, let's analyze the options given:
a) Average velocity: The definition of average velocity matches with the given statement. Average velocity is obtained by dividing the total displacement (change in position) by the total time taken. Therefore, option 'a' is correct.
b) Instantaneous velocity: Instantaneous velocity is not obtained by dividing the total displacement by total time taken. It represents the velocity at a specific point in time, and it involves taking the derivative of the position function with respect to time. Therefore, option 'b' is incorrect.
c) Uniform velocity: Uniform velocity is characterized by constant magnitude and direction. It is not obtained by dividing the total displacement by total time taken. Therefore, option 'c' is incorrect.
d) Speed: Speed is obtained by dividing the total distance traveled by total time taken. It does not take into account the direction of motion. Therefore, option 'd' is incorrect.
In conclusion, the correct answer is option 'a' - Average velocity.
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Which of the following are obtained by dividing total displacement by total time taken?a)Average velocityb)Instantaneous velocityc)Uniform velocityd)SpeedCorrect answer is option 'A'. Can you explain this answer?
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