Acceleration Calculator
Acceleration measures the time rate of change of an object's velocity vector (a = [vf - vi] / t). In physics and engineering, understanding uniform acceleration allows designers to calculate transit times, brake distances, rocket launch profiles, and g-forces exerted on aerospace pilots and vehicle occupants. This calculator computes linear acceleration, equivalent g-load, and spatial distance traveled.
Starting velocity in metres per second (0 m/s for starting from rest)
Terminal velocity in metres per second (27.78 m/s = 100 km/h or ~62.1 mph)
Total elapsed time in seconds between initial and final velocities
Rate of velocity change in metres per second squared
How to Use This Calculator
- Enter the starting velocity of the object (use 0 if starting from a standstill).
- Enter the target ending velocity achieved after the acceleration phase.
- Input the time elapsed during the transition in seconds.
- Review acceleration in m/s², ft/s², g-force load, and total distance covered.
Formula & Calculation Methodology
Under uniform acceleration, linear acceleration equals change in velocity divided by time elapsed. Total distance represents the area under the velocity-time curve. G-force normalizes acceleration against standard terrestrial gravity.
Worked Example
Sports car accelerating from 0 to 100 km/h (27.78 m/s) in 3.5 seconds
Frequently Asked Questions
What is deceleration in physics terminology?↓
Deceleration is simply negative acceleration along the direction of motion. When an object slows down (v_f < vᵢ), the acceleration value is negative, indicating a braking vector opposing velocity.
What is the physical meaning of 1 g of acceleration?↓
One 'g' equals the nominal gravitational acceleration at Earth's surface (9.80665 m/s²). At 1 g of acceleration, an occupant feels an apparent inertial force equal to their entire body weight.
How does acceleration relate to the slope of a velocity-time graph?↓
On a Cartesian graph plotting velocity against time, instantaneous acceleration is mathematically equal to the slope (derivative dv/dt) of the velocity curve.
What limitation applies if acceleration is not constant?↓
These kinematic equations strictly require constant (uniform) acceleration. If acceleration fluctuates over time (jerk da/dt ≠ 0), accurate positioning requires calculus integration of the acceleration profile.
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Source Citation & Disclaimer
Informational tool only; not licensed tax, legal, or financial advice.