kinematics equations, assumptions

  • Integrate acceleration aa twice to obtain velocity vv and position xx v(t)−v(t0)=∫t0ta(τ)dτ,(D1)\tag{D1} v(t) - v(t_0) = \int_{t_0}^t a(\tau) d\tau, x(t)−x(t0)=∫t0tv(τ)dτ.(D2)\tag{D2} x(t) - x(t_0) = \int_{t_0}^t v(\tau) d\tau.
  • Initial conditions are v(t0)=v0v(t_0) = v_0, x(t0)=x0x(t_0) = x_0, and t0=0t_0 = 0.
hft, "Why do kinematic equations only work with constant acceleration?", Physics Stack Exchange, 20 May 2022 (-), url https://physics.stackexchange.com/q/709769 [20250217].