Instantaneous Velocity Calculator
Calculate the instantaneous velocity of an object at a specific moment in time by entering position and time values.
Instantaneous Velocity Result
How to Use This Calculator
1. Enter the position function in terms of time (t). Example: 5t^2 + 3t + 2
2. Enter the specific time value at which you want to find the velocity.
3. Click “Calculate” to get the instantaneous velocity at that moment.
What is Instantaneous Velocity?
Instantaneous velocity is the velocity of an object at a specific instant in time. It’s the derivative of the position function with respect to time.
Mathematically: v(t) = ds/dt, where s(t) is position and t is time.
FAQs
Average velocity is the total displacement divided by total time over an interval, while instantaneous velocity is the velocity at a specific moment in time.
This calculator currently supports polynomial functions (like t^2, t^3, etc.). For trigonometric, exponential or other functions, we’ll be adding support soon.
The results are mathematically precise for polynomial functions. For other functions, the accuracy depends on the method of approximation used.