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# Сonstant acceleration

This online calculator solves problems with constant acceleration. It finds unknown parameter, either initial velocity, final velocity, time or acceleration, from known parameters.

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#### Timur

The calculator on this page solves problems on motion with constant acceleration, a.k.a. uniformly accelerated rectilinear motion. Here are some examples of such problems:

• A car accelerates uniformly from 10 m/s to 50 m/s in 5 seconds. Determine the acceleration of the car.
• Starting with a velocity of 50 km/h, a car accelerates for 30 seconds at an acceleration of 1.5 m/s2 . What is the velocity of the car at the end of the period of acceleration?

Those problems, where distance is not mentioned or required, use the following equations which relate velocity, acceleration and time in case of uniformly accelerated rectilinear motion:

$v=v_0+at$, for solving for final velocitiy from initial velocity, acceleration and time

$v_0=v-at$, for solving for initial velocity from final velocity, acceleration and time

$t=\frac{v - v_0}{a}$, for solving for time from initial velocity, final velocity and acceleration

$a=\frac{v - v_0}{t}$, for solving for acceleration from initial velocity, final velocity and time.

Take into account that acceleration can be negative (when object decelerates), as well as velocity (when object is moving in opposite direction from the positive axis direction).

As you can see, formulas are quite simple, and the main source of errors is unit conversion. For example, you need to convert kilometers per hour to meters per second, or (in case of English units) miles per hour to meters per second, and so on. Sometimes you can also have "strange" units of acceleration such as miles per hour per second or kilometers per hour per second, which you should convert to meters per second per second. The calculator below solves this problem, allowing you to choose units for known and unknown parameters. Then it converts them automatically.

P.S. For problems which required travelled distance you can use the calculator Kinematic Equations for Uniform Acceleration

#### Сonstant acceleration

Initial velocity

Final velocity

Time

Acceleration

Digits after the decimal point: 2

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