# How do you find instantaneous velocity from position and time?

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## What is the instantaneous velocity?

Instantaneous velocity is defined as the rate of change of position for a time interval which is very small (almost zero). Measured using SI unit m/s. Instantaneous speed is the magnitude of the instantaneous velocity. It has the same value as that of instantaneous velocity but does not have any direction.

## How do you find instantaneous velocity without calculus?

The slope of the curved line at any point is the instantaneous velocity at that time. If we were using calculus, the slope of a curved line could be calculated. Without calculus, we approximate the instantaneous velocity at a particular point by laying a straight edge along the curved line and estimating the slope.

## How do you find instantaneous velocity at t 2?

We can find instantaneous velocity by finding its derivative with respect to t, as the position function is given hence by finding \[\dfrac{{ds}}{{dt}}\] we can get the velocity. Therefore, the instantaneous velocity at t=2 is 43.

## What is instantaneous velocity with example?

The path may be straight or curved and the motion may be steady or variable. For example, if a squash ball comes back to its starting after bouncing off the wall several times, its total displacement is zero and so also is its average velocity. In such cases, the motion is described by instantaneous velocity.

## Is instantaneous velocity the same as acceleration?

In simple terms, the velocity tells how fast the position is changing whereas the acceleration tells us how fast the velocity is changing. Instantaneous velocity is the derivative of displacement wrt to time. It is not simply defined as ratio of change in position over time period.

## What is the velocity at T 2 second?

When t=2, the velocity of the particle is 4+2×2=8 m/s. After t seconds, the velocity of the particle is 4+2t m/s.