# What is the instantaneous velocity v of the particle at t=10.0s?

What is the instantaneous velocity v of the particle at t=10.0s?
calculations. ## General guidance

Concept and reason
The required concept to solve the problem is instantaneous velocity of object.

Use the expression of the instantaneous velocity to determine the instantaneous velocity.

Fundamentals

Instantaneous velocity is defined as the velocity of an object in motion at the given instant of time. It is denoted by .

The expression for the instantaneous velocity is as follows: Here, is the displacement and is the change in the time.

The displacement is the difference between the final position and the initial position. Here, is the final position and is the initial position.

## Step-by-step

### Step 1 of 2

The straight-line graph between the displacement and the time represents the uniform velocity of the particle. Thus, the particle will have same velocity at any instant of time. At the instant of time of 10.0 s, the position of the particle is found to be 16.0 m.

The graph is increasing linearly. That is, the velocity is increasing linearly.

### Step 2 of 2

Calculate the instantaneous velocity of the particle at time equal to 10.0 s by using the equation as follows: Substitute 16.0 m for , 10.0 m for , and 10.0 s for . The instantaneous velocity of the particle at time equal to 10.0 s is equal to 0.60 m/s.

The slope of the displacement versus time graph at the given point gives the value of the instantaneous velocity at that point.