Question

If dx denotes the change in position of an object and dt denotes the corresponding time interval, then instantaneous velocity is given by:

Answer 1

Answer:

$Velocity=\frac{dx}{dt}$

Explanation:

Remember that instantaneous velocity is just a measure to know the velocity that any object has at any point given in time, so we just need to know the distance it has travel, which would be the change in position, and the time it took that change in position to occurr, this means distance by time, so we just divide dx by dt and we have the solution for instantaneous velocity.

Answer 2

If a change in position as denoted by $dx$ and $dt$ change in time, the instantaneous velocity will be given by,

$v = \dfrac {dx}{dt}$

What is Velocity?

• It can be defined by the change in position of the object over time. This is a vector quantity.

• Vector quantity is a quantity that has both magnitude and direction.

Instantaneous velocity:

• The velocity of the object at a point of time is known as instantaneous velocity.

• Instantaneous velocity can be calculated by the ratio of change in position to the elapsed point of time.

$v = \dfrac {dx}{dt}$

Where,

$v$ - instantaneous velocity

$dt$   - change in distance (position)

$dt$- change in time

Therefore, if a change in position as denoted by $dx$ and $dt$change in time, the instantaneous velocity will be given by,

$v = \dfrac {dx}{dt}$

Learn more about  Instantaneous velocity.

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