Cinemática

Usa las ecuaciones de cinemática (SUVAT): v = u + at, s = ut + ½at² y v² = u² + 2as. Despeja cualquier variable con pasos.

Fórmula principal

v = u + at, s = ut + (1/2)at^2, v^2 = u^2 + 2as

How do you solve kinematics (SUVAT) problems?

List known values among s, u, v, a, t, then pick an equation that includes the unknown and omits what you do not have: v = u + at, s = ut + ½at², v² = u² + 2as, or s = ½(u + v)t. Solve algebraically, then check units and signs.

Sobre esta herramienta

Las ecuaciones SUVAT resuelven movimiento con aceleración constante. Elige qué variable despejar y revisa cómo se reordena cada ecuación antes de sustituir valores.

Cómo usar esta calculadora

  1. Elige la variable que quieres despejar y confirma qué valores ya conoces.
  2. Introduce los datos en unidades coherentes antes de calcular.
  3. Comprueba si el resultado es físicamente razonable comparándolo con las entradas.
  4. Usa el desglose paso a paso para ver cómo se aplicó la fórmula.

Ejemplos resueltos

Example 1: v = u + at

u = 5.0 m/s, a = 2.0 m/s², t = 4.0 s. v = 5 + (2)(4) = 13 m/s.

Example 2: s = ut + ½at²

u = 0, a = 3.0 m/s², t = 5.0 s. s = 0 + ½(3)(25) = 37.5 m.

Example 3: v² = u² + 2as

u = 10 m/s, v = 0, a = −2.0 m/s² (braking). 0 = 100 + 2(−2)s → 4s = 100 → s = 25 m.

Preguntas frecuentes

What are the SUVAT equations?

The usual set is v = u + at, s = ut + ½at², v² = u² + 2as, and s = ½(u + v)t. They assume constant acceleration.

How do I choose the right kinematics equation?

Write the knowns and the unknown. Choose the equation that contains the unknown and does not require a quantity you were not given. See the SUVAT choice guide on this site for a full walkthrough.

When can I not use SUVAT?

When acceleration is not constant — for example significant air resistance, or motion that needs calculus. Also do not force average-velocity-only methods when a and t are the real drivers.

How do signs work in kinematics?

Pick one direction as positive. Deceleration opposite that direction is negative a. Displacement opposite the positive axis is negative s.

How is this different from v = d/t?

v = d/t is average speed/velocity when you only have distance and time. SUVAT handles changing velocity under constant a. Use the velocity calculator for simple averages; use kinematics when a is involved.

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