Enter any three inputs and click on Calculate button
How to use this Acceleration Calculator 🤔
There are input fields for Initial Velocity \((u)\), Final Velocity \((v)\), Time \((t)\), and Acceleration \((a)\). Enter any three inputs and click on Calculate button.
The calculator uses the \( a = \frac{ v - u }{ t } \) 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 Acceleration?
Acceleration is the rate at which an object’s velocity changes over time. It tells us how quickly something is speeding up or slowing down. If an object is moving faster or slower as time goes on, it is accelerating.
Calculating Acceleration
Acceleration (a) can be calculated using the formula:
\( a = \frac{v - u}{t} \).
In this formula, the parameters are defined as follows:
v: The final speed of the object (final velocity).
u: The starting speed of the object (initial velocity).
t: The total time over which the change in speed occurs.
Input and Output Combinations of the Acceleration Calculator
Here are the input combinations available for the calculator, along with the formulas it uses to calculate the corresponding outputs.
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, v = 100 m/s
Initial Velocity, u = 50 m/s
Time, t = 10 s
Calculating acceleration (a)...
\( a = \) \( \frac{ v - u }{ t } \)
\( a = \) \( \frac{100-50}{10} \)
\( a = \) 5 m/s2
2
What is the acceleration of an object travelling with an initial velocity of 20 m/s and reaching a final velocity of 10 m/s after travelleling for 2 s.
Answer
Given:
Final Velocity, v = 10 m/s
Initial Velocity, u = 20 m/s
Time, t = 2 s
Calculating acceleration (a)...
\( a = \) \( \frac{ v - u }{ t } \)
\( a = \) \( \frac{10-20}{2} \)
\( a = \) -5 m/s2
3
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, u = 5 m/s
Acceleration, a = 2 m/s2
Time, t = 10 s
Calculating final velocity (v)...
\( v = \) \( u + a \cdot t \)
\( v = \) \(5+2\times10\)
\( v = \) 25 m/s
4
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, v = 100 m/s
Acceleration, a = 2 m/s2
Time, t = 10 s
Calculating initial velocity (u)...
\( u = \) \( v - a \cdot t \)
\( u = \) \(100-2\times10\)
\( u = \) 80 m/s
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.
{
"topic": "acceleration",
"input_types": [
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"float",
"float",
"float"
],
"input_labels": [
"u",
"v",
"t",
"a"
],
"input_descriptions": [
"Initial Velocity",
"Final Velocity",
"Time",
"Acceleration"
],
"input_units": [
"m/s",
"m/s",
"s",
"m/s<sup>2</sup>"
],
"input_values": [
"",
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""
],
"formula_mathjax": "\\( a = \\frac{ v - u }{ t } \\)",
"input_pre_msg": "Enter any three inputs and click on Calculate button",
"type": "Calculate",
"title": "Acceleration Calculator",
"description": "This Acceleration Calculator helps you calculate the acceleration of an given, given the initial velocity, final velcity, and time.",
"category": "Kinematics",
"template": "physics",
"formulas": [
{
"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"
},
{
"v": 10,
"u": 20,
"t": 2,
"a": "-5"
}
]
},
{
"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"
}
]
},
{
"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,
"u": "80"
}
]
},
{
"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 Acceleration?</h2><p>Acceleration is the rate at which an object’s velocity changes over time. It tells us how quickly something is speeding up or slowing down. If an object is moving faster or slower as time goes on, it is accelerating.</p><h2>Calculating Acceleration</h2><p>Acceleration (<strong>a</strong>) can be calculated using the formula:</p><p class=\"formula_highlite\">\\( a = \\frac{v - u}{t} \\).</p><p>In this formula, the parameters are defined as follows:</p><ul><li><strong>v</strong>: The final speed of the object (final velocity).</li><li><strong>u</strong>: The starting speed of the object (initial velocity).</li><li><strong>t</strong>: The total time over which the change in speed occurs.</li></ul><br><h2>Input and Output Combinations of the Acceleration 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\">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_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\">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_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\">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_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 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, v = 100 m/s</li><li>Initial Velocity, u = 50 m/s</li><li>Time, 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_2\" class=\"example\">\n <span class=\"example_n\">2</span>\n <h3 class=\"question\">\n What is the acceleration of an object travelling with an initial velocity of <strong>20 m/s</strong> and reaching a final velocity of <strong>10 m/s</strong> after travelleling for <strong>2 s</strong>.\n </h3>\n <h4 class=\"answer\">Answer</h4>\n <p>Given:</p>\n <ul><li>Final Velocity, v = 10 m/s</li><li>Initial Velocity, u = 20 m/s</li><li>Time, t = 2 s</li></ul>\n <p>Calculating acceleration (a)...</p><p class=\"step\">\\( a = \\) \\( \\frac{ v - u }{ t } \\)</p><p class=\"step\">\\( a = \\) \\( \\frac{10-20}{2} \\)</p><p class=\"step answer\">\\( a = \\) -5 m/s<sup>2</sup></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 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, u = 5 m/s</li><li>Acceleration, a = 2 m/s<sup>2</sup></li><li>Time, 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_4\" class=\"example\">\n <span class=\"example_n\">4</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, v = 100 m/s</li><li>Acceleration, a = 2 m/s<sup>2</sup></li><li>Time, 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_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, v = 100 m/s</li><li>Acceleration, a = 10 m/s<sup>2</sup></li><li>Initial Velocity, 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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