Representing Motion - AP Physics 1

$v_f = v_i + a t$. Kinematic equation for uniformly accelerated motion.

Velocity is speed with direction. Velocity includes directional information.

Acceleration = slope of the line. Slope of velocity-time graph gives acceleration.

Meters per second squared ($\text{m/s}^2$). Rate of change of velocity per unit time.

Meters per second squared ($\text{m/s}^2$). Rate of change of velocity per unit time.

When only gravity is acting on it. Air resistance is negligible compared to gravity.

Displacement is the change in position of an object. Vector quantity showing straight-line distance and direction.

Speed is the magnitude of velocity. Scalar quantity without direction.

$\Delta x = v_i t + \frac{1}{2} a t^2$. Kinematic equation combining initial velocity and acceleration.

Velocity is speed with direction. Velocity includes directional information.

A change in velocity. Velocity magnitude or direction changes.

$a = \frac{\Delta v}{\Delta t}$. Change in velocity divided by change in time.

$x = x_0 + vt$. Position equals initial position plus velocity times time.

The slope represents acceleration. Rate of change of velocity.

The object returned to its initial position. Final position equals starting position.

$a_c = \frac{v^2}{r}$. Acceleration directed toward circle center.

Meters (m). Standard SI unit for distance and position.

The slope indicates velocity. Slope equals change in position over time.

The constant velocity reached when drag force equals gravitational force. Drag force balances gravitational force.

$v = \frac{2\pi r}{T}$. Circumference divided by period.

Negative acceleration (deceleration). Velocity decreasing over time.

Changing velocity; acceleration. Non-linear position indicates changing velocity.

$v_f^2 = v_i^2 + 2a \Delta x$. Time-independent kinematic equation.

Acceleration = slope of the line. Slope of velocity-time graph gives acceleration.

$v_{avg} = \frac{\Delta x}{\Delta t}$. Change in position divided by change in time.

Displacement = area under the curve. Area calculation gives total displacement.

Constant acceleration. Quadratic time dependence indicates constant acceleration.

Velocity of an object as observed from another moving object. Motion measured from moving reference frame.

Velocity = slope of the line. Rise over run gives velocity value.