Linearization is a technique to turn curved graphs into straight lines by manipulating the x-axis.

Find the slope of the position-time graph.

Find the slope of the velocity-time graph.

Find the area under the velocity-time curve.

Find the area under the acceleration-time curve.

The balance point of an object or system; the average location of all the mass.

When an object is only under the influence of gravity.

When an object is launched into the air and is only affected by gravity.

Launches at an angle that include both a horizontal and vertical component of initial velocity.

The horizontal and vertical parts of a vector.

Horizontal motion: constant speed (no acceleration). Vertical motion: affected by gravity (constant downward acceleration).

Linear function: a straight line, represented by y = mx + b. Non-linear function: anything that isn't a straight line; often approximated with a tangent line.

$V_o$: initial velocity. $V_f$: final velocity.

Horizontal motion: $\Delta x = V_xt$. Vertical motion: $y = V_{oy}t + \frac{1}{2} gt^2$, $V_{fy} = V_{oy} + gt$, $V_{fy}^2 = V_{oy}^2 + 2gy$.

Displacement: change in position. Distance: total length traveled.