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Calculate Distance at Acceleration

Calculator for the length of the distance that is covered at a constant acceleration in a certain time. The time starts at the beginning of the acceleration from the rest position. Please enter two of the three values and choose the units, the third value will be calculated.

Acceleration:
Time: h m s
Distance:

Round to decimal places.


The formula for calculating distance from acceleration and time is distance = ½ * acceleration * time². To calculate the final speed at constant acceleration, see the straight track acceleration calculator.
d = ½ * a * t²

Acceleration can be given in meters per second per second or in multiples of the acceleration due to gravity g, where 1 g corresponds to 9.81 m/s². Time is given in hours, minutes and/or seconds. Distance can be measured in meters, kilometers or miles.

Example: at an acceleration of 0.5 g, it takes 20 seconds to cover the first kilometer and almost 29 seconds to cover the first two kilometers.

The more time passes, the more difficult it becomes to maintain a constant acceleration. In this respect, specifying the time in hours is only of theoretical interest; in practice it is difficult to maintain the same acceleration value for a few seconds.
Suppose a spaceship were to accelerate at 1 g in zero gravity. This would have the pleasant effect that the weight force in the spaceship would correspond to the gravity on Earth. If you had started at a speed of 0, you would have covered 63568.8 kilometers after one hour. The speed, determined with the calculator linked above (for 3600 seconds), would then be 127137.6 kilometers per hour. Of course, such values ​​are not achievable on Earth.


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