Calculate the displacement of an object with our Displacement Calculator. Input initial position, final position, and time to get accurate results. Perfect for physics students, teachers, and enthusiasts.
Enter any three inputs and click on Calculate button
How to use this Displacement Calculator 🤔
There are input fields for Initial Velocity \((u)\), Acceleration \((a)\), Time \((t)\), and Displacement \((d)\). Enter any three inputs and click on Calculate button.
The calculator uses the \( s = u \cdot t + \frac{ a \cdot t ^2}{2} \) 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 Displacement?
Displacement is the overall change in position of an object. It tells us how far and in what direction an object has moved from its starting point. Unlike distance, displacement considers the direction of motion, making it a vector quantity.
Calculating Displacement
Displacement (s) can be calculated using the formula:
\( s = u \cdot t + \frac{1}{2} a \cdot t^2 \).
In this formula, the parameters are defined as follows:
u: The initial velocity, or the speed at which the object starts moving.
t: The time duration for which the object has been moving.
a: The acceleration, or the rate at which the object’s speed is changing.
{
"topic": "displacement",
"input_types": [
"float",
"float",
"float",
"float"
],
"input_labels": [
"u",
"a",
"t",
"d"
],
"input_descriptions": [
"Initial Velocity",
"Acceleration",
"Time",
"Displacement"
],
"input_units": [
"m/s",
"m/s<sup>2</sup>",
"s",
"m"
],
"input_values": [
"",
"",
"",
""
],
"formula_mathjax": "\\( s = u \\cdot t + \\frac{ a \\cdot t ^2}{2} \\)",
"input_pre_msg": "Enter any three inputs and click on Calculate button",
"type": "Calculate",
"title": "Displacement Calculator",
"description": "Calculate the displacement of an object with our Displacement Calculator. Input initial position, final position, and time to get accurate results. Perfect for physics students, teachers, and enthusiasts.",
"category": "Kinematics",
"template": "physics",
"formulas": [
{
"parameters": [
"u",
"a",
"t"
],
"outputs": [
{
"label": "d",
"formula": " u * t + ( a * t * t )/2 ",
"formula_mathjax": "\\( u \\cdot t + \\frac{ a \\cdot t ^2}{2} \\)",
"formula_mathjax_sub": "\\( u \\times t + \\frac{ a \\times t ^2}{2} \\)"
}
],
"example_heading": "What is the distance travelled by an object travelling with an initial velocity of _u_, an acceleration of _a_, for _t_ ?",
"examples": [
{
"u": 5,
"a": 2,
"t": 10
},
{
"u": 0,
"a": 10,
"t": 20
}
]
},
{
"parameters": [
"d",
"a",
"t"
],
"outputs": [
{
"label": "u",
"formula": " d / t - ( a * t )/2 ",
"formula_mathjax": "\\( \\frac{ d }{ t } - \\frac{ a \\cdot t }{2} \\)",
"formula_mathjax_sub": "\\( \\frac{ d }{ t } - \\frac{ a \\times t }{2} \\)"
}
],
"example_heading": "What is the initial velocity of an object that has travelled a distance of _d_ with an acceleration of _a_, for _t_ ?",
"examples": [
{
"d": 100,
"a": 2,
"t": 10
}
]
},
{
"parameters": [
"d",
"u",
"t"
],
"outputs": [
{
"label": "a",
"formula": " 2 * ( d - ( u * t ))/( t * t ) ",
"formula_mathjax": "\\( 2 \\cdot (\\frac{ d - u \\cdot t }{ t ^2 }) \\)",
"formula_mathjax_sub": "\\( 2 \\times (\\frac{ d - u \\times t }{ t ^2 }) \\)"
}
],
"example_heading": "What is the acceleration of an object that has travelled a distance of _d_ in _t_ with an initial velocity of _u_ ?",
"examples": [
{
"d": 100,
"u": 25,
"t": 5
}
]
}
],
"content": "<h2>What is Displacement?</h2><p>Displacement is the overall change in position of an object. It tells us how far and in what direction an object has moved from its starting point. Unlike distance, displacement considers the direction of motion, making it a vector quantity.</p><h2>Calculating Displacement</h2><p>Displacement (<strong>s</strong>) can be calculated using the formula:</p><p class=\"formula_highlite\">\\( s = u \\cdot t + \\frac{1}{2} a \\cdot t^2 \\).</p><p>In this formula, the parameters are defined as follows:</p><ul><li><strong>u</strong>: The initial velocity, or the speed at which the object starts moving.</li><li><strong>t</strong>: The time duration for which the object has been moving.</li><li><strong>a</strong>: The acceleration, or the rate at which the object’s speed is changing.</li></ul>"
}
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