This Acceleration Calculator helps you calculate the acceleration of an given, given the initial velocity, final velcity, and time.
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.
{
"topic": "acceleration",
"input_types": [
"float",
"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": [
"",
"",
"",
""
],
"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
},
{
"v": 10,
"u": 20,
"t": 2
}
]
},
{
"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
}
]
},
{
"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",
"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 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>"
}