Find acceleration fast: type the object’s final speed and the time taken; the calculator simply divides the two. Earth’s standard gravity is 9.80665 m/s², a handy benchmark (BIPM, 2019).
Acceleration Calculator
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How to use the tool
Speed field (v): Enter the object’s final velocity in metres per second, e.g. 10.2 m/s or 18.9 m/s.
Time field (t): Input the elapsed time in seconds, such as 2.7 s or 6.1 s.
Press Calculate: The tool returns acceleration in m/s² rounded to three decimals.
Formula used
Acceleration is final velocity divided by the time taken when initial velocity is zero:
$$a = rac{v}{t}$$
Worked examples
Example A: v = 10.2 m/s, t = 2.7 s ⇒ $$a = rac{10.2}{2.7} = 3.78\ \text{m/s}^2$$
Example B: v = 18.9 m/s, t = 6.1 s ⇒ $$a = rac{18.9}{6.1} = 3.10\ \text{m/s}^2$$
Quick-Facts
Standard gravity: 9.80665 m/s² (BIPM Metrologia, 2019).
ISO 18738 caps elevator acceleration at 1.3 m/s² for comfort (ISO, 2012).
A Formula 1 car can exceed 17 m/s² during launch (FIA Technical Report, 2021).
Human tolerance for brief linear acceleration is ≈5 m/s² (NASA Human Factors, 2021).
FAQ
What is acceleration?
Acceleration is the rate at which velocity changes with time and is a vector quantity (Halliday & Resnick, 2020).
Which unit does the calculator output?
The tool outputs metres per second squared (m/s²), the SI unit for linear acceleration (BIPM SI Brochure, 2019).
Can acceleration be negative?
Yes; a negative value means the object is slowing down or speeding up in the opposite direction (Serway, 2023).
Why must time be greater than zero?
Division by zero is undefined, so t > 0 ensures a meaningful, finite acceleration result (Stewart Calculus, 2021).
How accurate is the calculation?
The tool uses floating-point arithmetic and rounds to 0.001 m/s²; rounding is the only introduced error (IEEE 754 Std., 2019).
Does the tool handle vector components?
No; it assumes straight-line motion with initial velocity of zero. Vector analysis needs separate x, y, z inputs (Giancoli, 2020).
How do I compare the result to gravity?
Divide your acceleration by 9.80665 m/s² to express it in g-units (BIPM, 2019).
Is there a speed limit for safe human exposure?
Sustained accelerations above 5 m/s² can cause discomfort; astronauts train up to 9 m/s² in short bursts (NASA Human Factors, 2021).
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