Question

write the equation that relates position, velocity, and constant acceleration without including time. then, explain in words what the equation means.

Explanation:

Step1: Recall the kinematic equation

The equation is $v^{2}=v_{0}^{2}+2a(x - x_{0})$, where $v$ is the final velocity, $v_{0}$ is the initial velocity, $a$ is the constant - acceleration, $x$ is the final position and $x_{0}$ is the initial position.

Step2: Explain the equation

The equation shows that the square of the final velocity is equal to the square of the initial velocity plus twice the product of the acceleration and the displacement ($x - x_{0}$). It relates the change in velocity squared to the acceleration and the change in position.

Answer:

The equation is $v^{2}=v_{0}^{2}+2a(x - x_{0})$. It means the square of the final velocity equals the square of the initial velocity plus twice the product of acceleration and displacement.