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Which of the following can be used to describe how fast an object is moving along with the direction of motion at a given instant of time?
- a)Instantaneous velocity
- b)Instantaneous speed
- c)Average velocity
- d)Average speed
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Which of the following can be used to describe how fast an object is m...
Instantaneous Velocity:
Instantaneous velocity is defined as the velocity of an object at a particular point in time or instant. It is the rate of change of displacement with respect to time at a particular instant. It is a vector quantity that has both magnitude and direction.
Formula:
Instantaneous velocity can be calculated using the following formula:
v = lim Δt→0 Δx/Δt
Where v is the instantaneous velocity, Δx is the displacement of the object, and Δt is the time taken to cover that displacement.
Characteristics:
- It is a vector quantity.
- It has both magnitude and direction.
- It is the velocity of an object at a specific instant in time.
- It can be positive, negative or zero depending on the direction of motion.
- It is measured in units of distance per unit time, such as meters per second (m/s).
Example:
Suppose a car is moving along a straight road and its position is given by x(t) = 2t^2 + 3t + 1, where x is in meters and t is in seconds. The instantaneous velocity of the car at t = 2 seconds can be calculated as follows:
v = dx/dt = 4t + 3
At t = 2 seconds,
v = 4(2) + 3 = 11 m/s
So, the instantaneous velocity of the car at t = 2 seconds is 11 m/s in the positive direction.
Conclusion:
Thus, instantaneous velocity is used to describe how fast an object is moving along with the direction of motion at a given instant of time. It is a vector quantity and can be calculated using the formula v = lim Δt→0 Δx/Δt.
Instantaneous velocity is defined as the velocity of an object at a particular point in time or instant. It is the rate of change of displacement with respect to time at a particular instant. It is a vector quantity that has both magnitude and direction.
Formula:
Instantaneous velocity can be calculated using the following formula:
v = lim Δt→0 Δx/Δt
Where v is the instantaneous velocity, Δx is the displacement of the object, and Δt is the time taken to cover that displacement.
Characteristics:
- It is a vector quantity.
- It has both magnitude and direction.
- It is the velocity of an object at a specific instant in time.
- It can be positive, negative or zero depending on the direction of motion.
- It is measured in units of distance per unit time, such as meters per second (m/s).
Example:
Suppose a car is moving along a straight road and its position is given by x(t) = 2t^2 + 3t + 1, where x is in meters and t is in seconds. The instantaneous velocity of the car at t = 2 seconds can be calculated as follows:
v = dx/dt = 4t + 3
At t = 2 seconds,
v = 4(2) + 3 = 11 m/s
So, the instantaneous velocity of the car at t = 2 seconds is 11 m/s in the positive direction.
Conclusion:
Thus, instantaneous velocity is used to describe how fast an object is moving along with the direction of motion at a given instant of time. It is a vector quantity and can be calculated using the formula v = lim Δt→0 Δx/Δt.
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Community Answer
Which of the following can be used to describe how fast an object is m...
Instantaneous velocity describes the velocity of an object at a given time instant. Average speed is the speed at which the object travels throughout the time period and not an instant. Speed is a scalar quantity; hence it cannot show the direction of motion.
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Which of the following can be used to describe how fast an object is moving along with the direction of motion at a given instant of time?a)Instantaneous velocityb)Instantaneous speedc)Average velocityd)Average speedCorrect answer is option 'A'. Can you explain this answer?
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