Kinematic Equations Solver
Enter any 3 known variables to calculate the remaining 2. This tool supports all standard kinematic relationships for objects moving with constant acceleration.
1. v = u + at
2. s = ut + ½at²
3. v² = u² + 2as
4. s = ½(u + v)t
Enter u=0, a=9.8, t=5: • v = 0 + 9.8 * 5 = 49 m/s. • s = 0 + 0.5 * 9.8 * 25 = 122.5 m.
What are the kinematic equations?
The kinematic equations are a set of four equations that describe the motion of an object under constant acceleration. They relate five variables: displacement (s), initial velocity (u), final velocity (v), acceleration (a), and time (t).
What are the 4 main kinematic equations?
1) v = u + at; 2) s = ut + ½at²; 3) v² = u² + 2as; 4) s = ½(u + v)t.
How many variables do I need to solve a kinematic problem?
You generally need to know at least three of the five variables (s, u, v, a, t) to solve for the remaining two.
When can I NOT use these equations?
You cannot use these equations if the acceleration is not constant. If acceleration changes over time, you must use calculus (integration/differentiation).
🔗 Related Calculators
📐 Formula
1. v = u + at
2. s = ut + ½at²
3. v² = u² + 2as
4. s = ½(u + v)t
📝 Example Calculation
Enter u=0, a=9.8, t=5: • v = 0 + 9.8 * 5 = 49 m/s. • s = 0 + 0.5 * 9.8 * 25 = 122.5 m.
❓ Frequently Asked Questions
What are the kinematic equations?▼
The kinematic equations are a set of four equations that describe the motion of an object under constant acceleration. They relate five variables: displacement (s), initial velocity (u), final velocity (v), acceleration (a), and time (t).
What are the 4 main kinematic equations?▼
1) v = u + at; 2) s = ut + ½at²; 3) v² = u² + 2as; 4) s = ½(u + v)t.
How many variables do I need to solve a kinematic problem?▼
You generally need to know at least three of the five variables (s, u, v, a, t) to solve for the remaining two.
When can I NOT use these equations?▼
You cannot use these equations if the acceleration is not constant. If acceleration changes over time, you must use calculus (integration/differentiation).