Relationship Between Velocity and Acceleration Velocity and acceleration are in the same direction Acceleration is uniform (blue arrows maintain the same length) Velocity is increasing (red arrows are getting longer)

Relationship Between Acceleration and Velocity Uniform velocity (shown by red arrows maintaining the same size) Acceleration equals zero

Relationship Between Velocity and Acceleration Acceleration and velocity are in opposite directions Acceleration is uniform (blue arrows maintain the same length) Velocity is decreasing (red arrows are getting shorter)

Kinematic Equations Used in situations with uniform acceleration Used in situations with uniform acceleration

Notes on the equations Gives displacement as a function of velocity and time Gives displacement as a function of velocity and time

Notes on the equations Shows velocity as a function of acceleration and time Shows velocity as a function of acceleration and time

Graphical Interpretation of the Equation

Notes on the equations Gives displacement as a function of time, velocity and acceleration Gives displacement as a function of time, velocity and acceleration

Notes on the equations Gives velocity as a function of acceleration and displacement Gives velocity as a function of acceleration and displacement

Problem-Solving Hints Be sure all the units are consistent Be sure all the units are consistent Convert if necessary Convert if necessary Choose a coordinate system Choose a coordinate system Sketch the situation, labeling initial and final points, indicating a positive direction Sketch the situation, labeling initial and final points, indicating a positive direction Choose the appropriate kinematic equation Choose the appropriate kinematic equation Check your results Check your results