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(s).
A 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.
Input and Output Combinations of the Final Velocity Calculator
Here are the input combinations available for the calculator, along with the formulas it uses to calculate the corresponding outputs.
What is the final velcity of an object travelling with an initial velocity of 5 m/s, an acceleration of 2 m/s2, after travelleling for 10 s.
Answer
Given:
initial velocity of object, u = 5 m/s
acceleration of object, a = 2 m/s2
time of travelling by the object, t = 10 s
Calculating final velocity (v)...
\( v = \) \( u + a \cdot t \)
\( v = \) \(5+2\times10\)
\( v = \) 25 m/s
2
What is the final velcity of an object travelling with an initial velocity of 0 m/s, an acceleration of 9.8 m/s2, after travelleling for 1 s.
Answer
Given:
initial velocity of object, u = 0 m/s
acceleration of object, a = 9.8 m/s2
time of travelling by the object, t = 1 s
Calculating final velocity (v)...
\( v = \) \( u + a \cdot t \)
\( v = \) \(0+9.8\times1\)
\( v = \) 9.8 m/s
3
What is the initial velcity of an object travelling with an acceleration of 2 m/s2 and reaching a final velocity of 100 m/s after travelleling for 10 s.
Answer
Given:
final velocity of the object, v = 100 m/s
acceleration of object, a = 2 m/s2
time of travelling by the object, t = 10 s
Calculating initial velocity (u)...
\( u = \) \( v - a \cdot t \)
\( u = \) \(100-2\times10\)
\( u = \) 80 m/s
4
What is the acceleration of an object travelling with an initial velocity of 50 m/s and reaching a final velocity of 100 m/s after travelleling for 10 s.
Answer
Given:
final velocity of the object, v = 100 m/s
initial velocity of object, u = 50 m/s
time of travelling by the object, t = 10 s
Calculating acceleration (a)...
\( a = \) \( \frac{ v - u }{ t } \)
\( a = \) \( \frac{100-50}{10} \)
\( a = \) 5 m/s2
5
What is the time taken by an object travelling with an initial velocity of 50 m/s and reaching a final velocity of 100 m/s, accelerating at 10 m/s2.
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"input_labels": [
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"input_descriptions": [
"Initial Velocity",
"Acceleration",
"Time",
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],
"input_descriptions_long": [
"initial velocity of object",
"acceleration of object",
"time of travelling by the object",
"final velocity of the object"
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"input_units": [
"m/s",
"m/s<sup>2</sup>",
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"input_values": [
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],
"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,
"v": "25"
},
{
"u": 0,
"a": 9.8,
"t": 1,
"v": "9.8"
}
]
},
{
"parameters": [
"v",
"a",
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],
"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,
"u": "80"
}
]
},
{
"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,
"a": "5"
}
]
},
{
"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,
"t": "5"
}
]
}
],
"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><br><h2>Input and Output Combinations of the Final Velocity Calculator</h2><p>Here are the input combinations available for the calculator, along with the formulas it uses to calculate the corresponding outputs.</p><div class=\"formula_sets\"><div class=\"formula_set set_1\"><span class=\"heading_side\">Calculator Inputs</span><span class=\"set_n\">Set #1</span><ul class=\"given\"><li><span class=\"input\">u</span> Initial Velocity</li><li><span class=\"input\">a</span> Acceleration</li><li><span class=\"input\">t</span> Time</li></ul><p>For these given inputs,</p><span class=\"heading_side\">Outputs, Formulas</span><p>We calculate the following outputs:</p><ul class=\"find\"><li><span class=\"output_label\">Final Velocity</span><span class=\"output\">\\(v = \\)\\( u + a \\cdot t \\)</span></li></ul><a class=\"button\" href=\"#example_1\">2 Examples</a></div><div class=\"formula_set set_2\"><span class=\"heading_side\">Calculator Inputs</span><span class=\"set_n\">Set #2</span><ul class=\"given\"><li><span class=\"input\">v</span> Final Velocity</li><li><span class=\"input\">a</span> Acceleration</li><li><span class=\"input\">t</span> Time</li></ul><p>For these given inputs,</p><span class=\"heading_side\">Outputs, Formulas</span><p>We calculate the following outputs:</p><ul class=\"find\"><li><span class=\"output_label\">Initial Velocity</span><span class=\"output\">\\(u = \\)\\( v - a \\cdot t \\)</span></li></ul><a class=\"button\" href=\"#example_3\">1 Example</a></div><div class=\"formula_set set_3\"><span class=\"heading_side\">Calculator Inputs</span><span class=\"set_n\">Set #3</span><ul class=\"given\"><li><span class=\"input\">v</span> Final Velocity</li><li><span class=\"input\">u</span> Initial Velocity</li><li><span class=\"input\">t</span> Time</li></ul><p>For these given inputs,</p><span class=\"heading_side\">Outputs, Formulas</span><p>We calculate the following outputs:</p><ul class=\"find\"><li><span class=\"output_label\">Acceleration</span><span class=\"output\">\\(a = \\)\\( \\frac{ v - u }{ t } \\)</span></li></ul><a class=\"button\" href=\"#example_4\">1 Example</a></div><div class=\"formula_set set_4\"><span class=\"heading_side\">Calculator Inputs</span><span class=\"set_n\">Set #4</span><ul class=\"given\"><li><span class=\"input\">v</span> Final Velocity</li><li><span class=\"input\">a</span> Acceleration</li><li><span class=\"input\">u</span> Initial Velocity</li></ul><p>For these given inputs,</p><span class=\"heading_side\">Outputs, Formulas</span><p>We calculate the following outputs:</p><ul class=\"find\"><li><span class=\"output_label\">Time</span><span class=\"output\">\\(t = \\)\\( \\frac{ v - u }{ a } \\)</span></li></ul><a class=\"button\" href=\"#example_5\">1 Example</a></div></div><br><br><h2>Examples</h2>\n <div id=\"example_1\" class=\"example\">\n <span class=\"example_n\">1</span>\n <h3 class=\"question\">\n What is the final velcity of an object travelling with an initial velocity of <strong>5 m/s</strong>, an acceleration of <strong>2 m/s<sup>2</sup></strong>, after travelleling for <strong>10 s</strong>.\n </h3>\n <h4 class=\"answer\">Answer</h4>\n <p>Given:</p>\n <ul><li>initial velocity of object, u = 5 m/s</li><li>acceleration of object, a = 2 m/s<sup>2</sup></li><li>time of travelling by the object, t = 10 s</li></ul>\n <p>Calculating final velocity (v)...</p><p class=\"step\">\\( v = \\) \\( u + a \\cdot t \\)</p><p class=\"step\">\\( v = \\) \\(5+2\\times10\\)</p><p class=\"step answer\">\\( v = \\) 25 m/s</p>\n </div>\n \n <div id=\"example_2\" class=\"example\">\n <span class=\"example_n\">2</span>\n <h3 class=\"question\">\n What is the final velcity of an object travelling with an initial velocity of <strong>0 m/s</strong>, an acceleration of <strong>9.8 m/s<sup>2</sup></strong>, after travelleling for <strong>1 s</strong>.\n </h3>\n <h4 class=\"answer\">Answer</h4>\n <p>Given:</p>\n <ul><li>initial velocity of object, u = 0 m/s</li><li>acceleration of object, a = 9.8 m/s<sup>2</sup></li><li>time of travelling by the object, t = 1 s</li></ul>\n <p>Calculating final velocity (v)...</p><p class=\"step\">\\( v = \\) \\( u + a \\cdot t \\)</p><p class=\"step\">\\( v = \\) \\(0+9.8\\times1\\)</p><p class=\"step answer\">\\( v = \\) 9.8 m/s</p>\n </div>\n \n <div id=\"example_3\" class=\"example\">\n <span class=\"example_n\">3</span>\n <h3 class=\"question\">\n What is the initial velcity of an object travelling with an acceleration of <strong>2 m/s<sup>2</sup></strong> and reaching a final velocity of <strong>100 m/s</strong> after travelleling for <strong>10 s</strong>.\n </h3>\n <h4 class=\"answer\">Answer</h4>\n <p>Given:</p>\n <ul><li>final velocity of the object, v = 100 m/s</li><li>acceleration of object, a = 2 m/s<sup>2</sup></li><li>time of travelling by the object, t = 10 s</li></ul>\n <p>Calculating initial velocity (u)...</p><p class=\"step\">\\( u = \\) \\( v - a \\cdot t \\)</p><p class=\"step\">\\( u = \\) \\(100-2\\times10\\)</p><p class=\"step answer\">\\( u = \\) 80 m/s</p>\n </div>\n \n <div id=\"example_4\" class=\"example\">\n <span class=\"example_n\">4</span>\n <h3 class=\"question\">\n What is the acceleration of an object travelling with an initial velocity of <strong>50 m/s</strong> and reaching a final velocity of <strong>100 m/s</strong> after travelleling for <strong>10 s</strong>.\n </h3>\n <h4 class=\"answer\">Answer</h4>\n <p>Given:</p>\n <ul><li>final velocity of the object, v = 100 m/s</li><li>initial velocity of object, u = 50 m/s</li><li>time of travelling by the object, t = 10 s</li></ul>\n <p>Calculating acceleration (a)...</p><p class=\"step\">\\( a = \\) \\( \\frac{ v - u }{ t } \\)</p><p class=\"step\">\\( a = \\) \\( \\frac{100-50}{10} \\)</p><p class=\"step answer\">\\( a = \\) 5 m/s<sup>2</sup></p>\n </div>\n \n <div id=\"example_5\" class=\"example\">\n <span class=\"example_n\">5</span>\n <h3 class=\"question\">\n What is the time taken by an object travelling with an initial velocity of <strong>50 m/s</strong> and reaching a final velocity of <strong>100 m/s</strong>, accelerating at <strong>10 m/s<sup>2</sup></strong>.\n </h3>\n <h4 class=\"answer\">Answer</h4>\n <p>Given:</p>\n <ul><li>final velocity of the object, v = 100 m/s</li><li>acceleration of object, a = 10 m/s<sup>2</sup></li><li>initial velocity of object, u = 50 m/s</li></ul>\n <p>Calculating time (t)...</p><p class=\"step\">\\( t = \\) \\( \\frac{ v - u }{ a } \\)</p><p class=\"step\">\\( t = \\) \\( \\frac{100-50}{10} \\)</p><p class=\"step answer\">\\( t = \\) 5 s</p>\n </div>\n "
}
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