If there is no acceleration on an object, it will have the same velocity regardless of how long it is moving.

Mathematically, we can look at the equation for acceleration.

We know that the acceleration is zero and that the time is ten seconds.

In order for this to be true, the initial and final velocities must be equal.

To solve this problem, we need to understand what speed is. Speed is the distance covered in a given amount of time.

In our problem, we need to find the speed of the athlete. We are given the distance the athlete must cover, which is equal to the distance traveled by the ball.

We are also told how much time the athlete has to cover the distance, which is equal to the time the ball is in the air.

Use these values and the equation for speed to find the speed that the athlete must run.

Acceleration is given by the change in velocity over change in time.

While we know the change in velocity, we also need to know the change in time in order to be able to accurately determine the deceleration of the car.

The average velocity is the total displacement divided by the total time or .

Plug in our given values.

Our first step is to calculate the velocity of the storm in the proper units.

In order for the plane to move faster than the storm, its velocity must be greater than this value. To find the necessary increase in velocity, we need to subtract the initial velocity from the final velocity.

This is the necessary increase in velocity in order for the plane to match the pace of the storm; thus, our answer must be only slightly greater than . This leads to our answer of .

If the observer sees the bicycle moving with a uniform velocity , then that means all the parts of the bicycle together are moving with the same velocity. The dog, the cyclist, the handlebars, everything in the system (that is not moving independently, such as the pedals or the wheels) is moving with the same velocity .

To solve this problem we need to consider the definition of speed, which is the distance traveled over a given amount of time.

Even though the player's speed is changing throughout the sprint (due to acceleration), we are asked to find the average speed. We can do this using the total distance and total time given. The distance is and the time is .

To solve this problem, we use the relation between velocity and time:

We can rearrange this equation to isolate the variable for time:

Use the given distance and velocity to solve for the time.

Velocity is a vector measurement of displacement per unit time. This means that it has both magnitude and direction, according to the direction of the displacement.

The standard unit for displacement is meters and the standard unit for time is seconds; thus, the SI unit for velocity is meters per second. Any standard measure of velocity will be given in meters per second, with a corresponding direction of action.

Velocity is equal to a change in displacement per unit time. Consider a basic velocity vs. time graph that depicts a constant velocity, given by a straight horizontal line. How can we determine the displacement during a given time interval? Use the kinematics equation:

Acceleration will be zero, allowing us to reduce the equation. We can also assume that there is zero initial displacement.

So, the displacement will be equal to the velocity multiplied by the time. In the graph, velocity will be represented by the vertical location and time will be represented by the horizontal location of any point. Displacement will be equal to the height of the graph times the width of the graph, or the area of the rectangle created by the constant velocity over a unit of time.

Though this is just one example, displacement will always be equal to the area under the curve of a velocity vs. time graph.

In calculus terms, velocity is the derivative of the function for displacement in terms of time. To find the displacement, one must take the integral of the velocity function. The result is the area under the curve of the velocity function.