The rate of change of position with respect to time at a specific instant; mathematically, $v_{x}=\frac{d x}{d t}$.

The rate of change of velocity with respect to time at a specific instant; mathematically, $a_{x}=\frac{d v_{x}}{d t}$.

The change in position of an object. On a velocity vs. time graph, it's the area under the curve: $\Delta x=\int_{t_{1}}^{t_{2}} v_{x}(t) d t$.

The constant downward acceleration experienced by objects near Earth's surface due to gravity, approximately $g \approx 10 \mathrm{~m} / mathrm{s}^{2}$.

Equations that describe the motion of objects with constant acceleration, relating position, velocity, time, and acceleration.

Average velocity: Displacement over a time interval. Instantaneous velocity: Velocity at a specific point in time.

Displacement: Change in position with direction. Distance: Total length of the path traveled, regardless of direction.

Position vs. Time: Slope is velocity. Velocity vs. Time: Slope is acceleration, area is displacement.

Positive Acceleration: Acceleration is in the positive direction, increasing velocity in that direction. Negative Acceleration: Acceleration is in the negative direction, decreasing velocity in that direction.

Velocity: Rate of change of position. Acceleration: Rate of change of velocity.

Calculate the slope of the line at a specific point. Slope = velocity.

Calculate the area under the curve of the velocity vs. time graph.

Calculate the area under the curve of the acceleration vs. time graph.

Identify the known variables (initial velocity, final velocity, acceleration, time, displacement) and the unknown variable you need to find.

Choose the kinematic equation that includes the known variables and the unknown variable.