Derivation of formulas for constant acceleration kinematics and when to use each kinematics formula. скачать в хорошем качестве

Derivation of formulas for constant acceleration kinematics and when to use each kinematics formula.

00:00 This video covers the derivation of formulas for constant acceleration kinematics and several examples illustrating when to use each kinematics formula. 🧠 Access full flipped physics courses with video lectures and examples at https://www.zakslabphysics.com/ We start with a reminder of derivative relationships between position, velocity and acceleration. Assumption that a is constant: we want formulas for constant acceleration kinematics! Notation introduced for initial position and velocity. 00:47 Derivation of the first two kinematics formulas by guessing antiderivatives and evaluating at the initial conditions (x-naught and y-naught). This gives us the two main constant acceleration kinematics formulas: x=x_0+v_0t+1/2*at^2, and v=v_0+at. 02:48 Derivation of the next two kinematics formulas: we manipulate the first two kinematics formulas to obtain two more: we eliminate time from the kinematics equations to get v^2=v_0^2+2a(x-x_0), and we eliminate acceleration from the original equations to get x-x_0=(v+v_0)/2*t. Now our set of constant acceleration kinematics formulas is complete! 06:41 Examples of how to apply the kinematics formulas. We work four quick examples to illustrate how to use each of the four kinematics formulas to solve basic 1D kinematics problems in the case of constant acceleration.