This page's calculator 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 the case of uniformly accelerated rectilinear motion:
, for solving for final velocity from initial velocity, acceleration and time
, for solving for initial velocity from final velocity, acceleration and time
, for solving for time from initial velocity, final velocity and acceleration
, for solving for acceleration from initial velocity, final velocity and time.
Take into account that acceleration can be negative (when the object decelerates) and velocity (when the object is moving in the 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 the case of English units) miles per hour to meters per second, and so on. You can sometimes 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 squared. 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 that required traveled distance, you can use the calculator Kinematic Equations for Constant Acceleration Calculator