Velocity Calculator

Use this velocity calculator to determine the velocity of an object based on the distance and time taken to cover it. In addition to this, our calculator allows you to make the following calculations:

• Time (t), if distance(d) and velocity (v) are given
• Distance (d), if time(t) and velocity (v) are given
• Initial velocity (\(v_{i}\)), if acceleration (a), time (t), and final velocity (\(v_{f}\)) are given
• Final velocity (\(v_{f}\)), if acceleration (a), time (t), and initial velocity (\(v_{i}\)) are given
• Acceleration (a), if initial velocity (\(v_{i}\)), final velocity (\(v_{f}\)), and time (t) are given
• Average velocity, if different velocities are given
• Initial velocity (\(v_{i}\)), if acceleration (a), displacement (d), and final velocity (\(v_{f}\)) are given
• Displacement (d), if initial velocity (\(v_{i}\)), final velocity (\(v_{f}\)), and acceleration (a) are given
• Acceleration (a), if initial velocity (\(v_{i}\)), final velocity (\(v_{f}\)), and displacement (d) are given
• Final velocity (\(v_{f}\)), if initial velocity (\(v_{i}\)), displacement (d), and acceleration (a) are given

What is Velocity?

“Velocity describes how fast an object moves in a particular direction over time”

It is a vector quantity that has both magnitude and direction but this is different from speed which only describes how fast something is moving without direction.

• Symbol: symbol v
• Dimension: \(LT^{−1}\)
• SI Unit: m/s

Velocity Formula:

\(Velocity = \dfrac{Displacement}{Time}\)

or

\(v = \dfrac{d}{t}\)

Here our velocity calculator also takes displacement and time values to automatically calculate the velocity in terms of different units.

Other common Units of Velocity:

Examples of Velocity:

• How fast a train moves
• The rate of speed at which water leaves the faucet in a set direction
• The motion of water in the river at different speeds
• Car moving at a certain speed
• Rotation of earth around the sun
• Velocity of the ball leaving the bat towards right field

How To Calculate Velocity?

To calculate the velocity of any object moving under constant acceleration, you can follow the given steps and take a look at the example:

1. Determine the displacement (d) (The shortest distance between the initial and final point)
2. Calculate the time (t) taken to cover the displacement
3. Divide the displacement and time to find the velocity

Mathematically:

\(v = \frac {d}{t}\)

Example:

If a train covers a displacement of 100km in an hour, its velocity will be:

Step 1 – Convert units to the smallest value

Distance = 100km = 100 * 1000 = 100,000 meter

Time = 1 hour = 60 * 60 seconds = 3600 seconds

Step 2 – Calculate velocity

Velocity (v) = Displacement (d) / Time (t)

Velocity (v) = 100000/3600

Velocity (v) = 27.777 \(ms^{-1}\)

Along with velocity, you can also find the initial, final, and constant speed of an object in a particular direction using this online velocity calculator.

How is Velocity Different From Speed?

Velocity is the rate at which an object changes its position in a specific direction, while speed is the rate of measuring how quickly an object moves.

For example, a cycle rider covers a distance of 10km/hr along a road. If we describe in a straight path that cycle rider travelling in a west direction, that is its velocity.

What are the Different Applications of Velocity Calculator?

There are several industries and cases where a velocity calculator can be used:

Everyday Use:

• Trip Planning: You can calculate average velocity, distance, and time for different trips like cycling, walking, driving, etc.
• Sports Performance: The tool can help in analyzing the speed of athletes during various sports.

Science & Engineering:

• Kinematics: You can solve motion problems involving velocity, displacement, and acceleration using the core equation (v=d/t)

• Projectile Motion: Trajectory analysis of an object considering its initial speed, direction, and velocity

• Fluid Mechanics: Calculate fluid speed and its directions within the piping channels.

Specialized Fields:

• Aviation: Air traffic controllers and pilots use a velocity calculator to calculate takeoff speed and relative positions of the aircraft.
• Ballistics: Find the velocity of the projectiles fired from firearms for various engineering and forensic purposes.
• Robotics: Velocity calculations can help in programming robots to move at a certain speed, thereby covering specific distances over time.
• Astronomy: The tool can help astronomers analyze the planetary motion based on the speed and direction of revolutions.
• Animation: Gaming developers use velocity calculations to create realistic motion simulations for any game.

FAQs:

What causes a change in velocity?

According to Newton’s 1st law of motion, Force is the major parameter that causes a change in either speed or direction. Thus, it causes a change in velocity. The velocity calculator can also figure out how a change in force affects the motion of an object by determining the final velocity.

Can velocity be negative?

Yes, velocity can also be negative when an object travels in a direction opposite of positive.

Suppose you have east as a positive direction, then a velocity of -20 m/s means the object is moving 20 m/s westward.

How is velocity affected by external forces?

External forces can greatly affect the velocity of objects. These forces can arise in multiple cases, including:

1. Increased speed (e.g., When you apply force to move an object)
2. Decreased speed (e.g., When throwing a ball in the upward direction)
3. Directional change (e.g., When a baseball is being hit)
4. Combination of both (e.g., When an aircraft accelerates up in the sky)

How to calculate velocity without time?

It’s nearly impossible to find velocity without time, as the value depends upon the distance traveled over time. However, there are certain situations in which you can use other values alongside displacement to solve for velocity.

For example, if you have constant acceleration and displacement values, you can use the following equation of motion to determine velocity:

v^2 = u^2 + 2as

where:

• v = final velocity
• u = initial velocity (if unknown, it can be assumed as 0)
• a = acceleration
• s = distance traveled

How to calculate speed from velocity?

If a car moves at a velocity of 150 meters per second in the east direction, its speed will be:

Speed = |Velocity|

Speed = |150 metres per second|

Speed = 150 meters per second (Magnitude only)

References:

From Wikipedia, the free encyclopedia – Constant velocity vs acceleration – Difference between speed and velocity – Equation of motion – Average Velocity – Instantaneous velocity (change in position) – Quantities that are dependent on velocity – Relative velocity – Scalar velocities – Polar coordinates

From the source of thoughtco – By Andrew Zimmerman Jones – What Is Velocity in Physics (The concept is related to distance, rate, and time) – Velocity Formula – Units of Velocity – Why Velocity Matters – Sample Velocity Problem – How to Find the Velocity of Something

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