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# Velocity Calculator

Enter any two known values to find the third.

Distance Covered

Acceleration

Average Velocity

## Velocity Calculator (Physics):

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 for different terms related to velocity, including:

Final Velocity:

✦ If initial velocity $$\ 'V_i'$$, acceleration $$\ 'a'$$, and time $$\ 't'$$ are given

Initial Velocity:

✦ If acceleration $$\ 'a'$$, time $$\ 't'$$ and final velocity $$\ 'V_f'$$ are given

Acceleration:

✦ If initial velocity $$\ 'V_i'$$, final velocity $$\ 'V_f'$$, and time $$\ 't'$$ are given

Time:

✦ If initial velocity $$\ 'V_i'$$, final velocity $$\ 'V_f'$$, and acceleration $$\ 'a'$$ are given

Distance Covered:

✦ Velocity = If distance $$\ 'd'$$ and time $$\ 't'$$ are given

✦ Time = If velocity $$\ 'v'$$ and distance $$\ 'd'$$ are given

✦ Distance = If velocity $$\ 'v'$$ and time $$\ 't'$$ 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:

v = u + at

Where:

• u is the initial velocity
• v represnst the final velocity
• a is the acceleration
• t shows the time

Here our velocity calculator also takes acceleration and time to automatically calculate the velocity.

### Other Common Units of Velocity:

Unit Equivalent in km/h
km/h 1.0000
knot 1.8520
ft/s 0.3048
ft/min 0.0051
cm/s 0.0036
in/s 0.0254
m/h 0.2778
mph 1.6093
yd/s 0.9144
Speed of light (c) 299,792,458 m/s (constant, not a unit)

### 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 initial or final speed
• Rotation of earth around the sun
• Velocity of the ball leaving the bat towards right field

These physical scenarios involve changing distance with time. The velocity equation v(d/t) calculator can help you figure out the speed in particular directions for all these conditions.

## 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 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 calculator for velocity can function to 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 westwards.

### 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 find velocity without time?

It’s nearly impossible to find velocity without time, as the value depends upon the distance traveled over time. Even our velocity finder considers time as a crucial factor in determining the accurate speed of an object in a particular direction of motion. 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 constant 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)