1.5.2 The Complete Motion Diagram

You’ve now seen two Tactics Boxes. Tactics Boxes to help you accomplish specific tasks will appear in nearly every chapter in this book. We’ll also, where appropriate, provide Problem-Solving Strategies.

PROBLEM-SOLVING STRATEGY 1.1
Motion diagrams

MODEL Determine whether it is appropriate to model the moving object as a particle. Make simplifying assumptions when interpreting the problem statement.

VISUALIZE A complete motion diagram consists of:

  • The position of the object in each frame of the video, shown as a dot. Use five or six dots to make the motion clear but without overcrowding the picture. The motion should change gradually from one dot to the next, not drastically. More complex motions will need more dots.

  • The average velocity vectors, found by connecting each dot in the motion diagram to the next with a vector arrow. There is one velocity vector linking each two position dots. Label the row of velocity vectors v ⃗.

  • The average acceleration vectors, found using Tactics Box 1.2. There is one acceleration vector linking each two velocity vectors. Each acceleration vector is drawn at the dot between the two velocity vectors it links. Use 0⃗ to indicate a point at which the acceleration is zero. Label the row of acceleration vectors a⃗.