Calculate the final velocity of an object with our Final Velocity Calculator. Input initial velocity, acceleration, and time to get instant results. Perfect for physics students, teachers, and enthusiasts.
Enter any three inputs and click on Calculate button
How to use this Final Velocity Calculator 🤔
There are input fields for Initial Velocity \((u)\), Acceleration \((a)\), Time \((t)\), and Final Velocity \((v)\). Enter any three inputs and click on Calculate button.
The calculator uses the \( v = u + a t \) formula, substitues given values, and calcuates the missing value.
The missing value is calcuated and displayed in the input field. Also, the caculation is displayed under the input section.
What is Final Velocity?
Final velocity is the speed of an object at the end of its motion after it has been speeding up or slowing down. When an object accelerates, its velocity changes over time. The final velocity tells us how fast the object is moving at the last moment we are looking at.
Calculating Final Velocity
The final velocity of an object is calculated using the formula:
\( v = u + a \cdot t \).
In this formula, the parameters are defined as follows:
u: The starting speed, also known as the initial velocity.
a: The rate at which the speed is changing every second, called acceleration.
t: The total time that has passed during the motion.
{
"topic": "final-velocity",
"input_types": [
"float",
"float",
"float",
"float"
],
"input_labels": [
"u",
"a",
"t",
"v"
],
"input_descriptions": [
"Initial Velocity",
"Acceleration",
"Time",
"Final Velocity"
],
"input_descriptions_long": [
"initial velocity of object",
"acceleration of object",
"time of travelling by the object",
"final velocity of the object"
],
"input_units": [
"m/s",
"m/s<sup>2</sup>",
"s",
"m/s"
],
"input_values": [
"0",
"",
"",
""
],
"formula_mathjax": "\\( v = u + a t \\)",
"input_pre_msg": "Enter any three inputs and click on Calculate button",
"type": "Calculate",
"title": "Final Velocity Calculator",
"description": "Calculate the final velocity of an object with our Final Velocity Calculator. Input initial velocity, acceleration, and time to get instant results. Perfect for physics students, teachers, and enthusiasts.",
"category": "Kinematics",
"template": "physics",
"formulas": [
{
"parameters": [
"u",
"a",
"t"
],
"outputs": [
{
"label": "v",
"formula": " u + a * t ",
"formula_mathjax": "\\( u + a \\cdot t \\)",
"formula_mathjax_sub": "\\( u + a \\times t \\)"
}
],
"example_heading": "What is the final velcity of an object travelling with an initial velocity of _u_, an acceleration of _a_, after travelleling for _t_.",
"examples": [
{
"u": 5,
"a": 2,
"t": 10
},
{
"u": 0,
"a": 9.8,
"t": 1
}
]
},
{
"parameters": [
"v",
"a",
"t"
],
"outputs": [
{
"label": "u",
"formula": " v - a * t ",
"formula_mathjax": "\\( v - a \\cdot t \\)",
"formula_mathjax_sub": "\\( v - a \\times t \\)"
}
],
"example_heading": "What is the initial velcity of an object travelling with an acceleration of _a_ and reaching a final velocity of _v_ after travelleling for _t_.",
"examples": [
{
"v": 100,
"a": 2,
"t": 10
}
]
},
{
"parameters": [
"v",
"u",
"t"
],
"outputs": [
{
"label": "a",
"formula": "( v - u ) / t ",
"formula_mathjax": "\\( \\frac{ v - u }{ t } \\)"
}
],
"example_heading": "What is the acceleration of an object travelling with an initial velocity of _u_ and reaching a final velocity of _v_ after travelleling for _t_.",
"examples": [
{
"v": 100,
"u": 50,
"t": 10
}
]
},
{
"parameters": [
"v",
"a",
"u"
],
"outputs": [
{
"label": "t",
"formula": "( v - u ) / a ",
"formula_mathjax": "\\( \\frac{ v - u }{ a } \\)"
}
],
"example_heading": "What is the time taken by an object travelling with an initial velocity of _u_ and reaching a final velocity of _v_, accelerating at _a_.",
"examples": [
{
"v": 100,
"u": 50,
"a": 10
}
]
}
],
"content": "<h2>What is Final Velocity?</h2><p>Final velocity is the speed of an object at the end of its motion after it has been speeding up or slowing down. When an object accelerates, its velocity changes over time. The final velocity tells us how fast the object is moving at the last moment we are looking at.</p><h2>Calculating Final Velocity</h2><p>The <strong>final velocity</strong> of an object is calculated using the formula:</p><p class=\"formula_highlite\">\\( v = u + a \\cdot t \\).</p><p>In this formula, the parameters are defined as follows:</p><ul><li><strong>u</strong>: The starting speed, also known as the initial velocity.</li><li><strong>a</strong>: The rate at which the speed is changing every second, called acceleration.</li><li><strong>t</strong>: The total time that has passed during the motion.</li></ul>"
}
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