Translational Motion Projectile Motion Circular Motion Motion Map

Translational Motion Projectile Motion Circular Motion

Motion Map • Which direction is the object moving?

Tactics: Vector Addition Working in groups of 3, do two examples of vector addition -on your whiteboard, draw two random vectors, then add them graphically

Tactics: Vector Subtraction Working in groups of 3, do two examples of vector subraction -on your whiteboard, draw two random vectors, then add them graphically

The Displacement vector Using vector subtraction and working on the whiteboards, show you get this vector, Δr 1 r 0 Dr 2 r 1

Average Speed, Average Velocity To quantify an object’s fastness or slowness, we define a ratio as follows: Average speed does not include information about direction of motion. Average velocity does include direction. The average velocity of an object during a time interval Δt, in which the object undergoes a displacement Δr, is the vector

Motion Map • Displacement vectors • Velocity Vectors Dr 4 v 4 Dt Dr 3 v 3 Dt Dr 2 Dr 1 Dr 0 v 2 Dt v 1 Dt v 0 Dt

Motion Map • Δt is the same between each position, so we can drop it • Velocity, v, is proportional to displacement, Δr v 4 v 3 v 2 v 1 v 0

Motion Diagrams with Velocity Vectors

Linear Acceleration Because velocity is a vector, it can change in two possible ways. 1. The magnitude can change, indicating a change in speed, or 2. The direction can change, indicating that the object has changed direction. We will concentrate for now on the first case, a change in speed.

Tactics: Finding the acceleration vector

Tactics: Finding the acceleration vector Complete a motion diagram and find the acceleration for an object moving: Down an incline while speeding up Up an incline while slowing down

A particle undergoes acceleration while moving from point 1 to point 2. Which of the choices shows the velocity vector as the object moves away from point 2?

A particle undergoes acceleration while moving from point 1 to point 2. Which of the choices shows the velocity vector as the object moves away from point 2?

EXAMPLE 1. 7 Interpreting a position graph

EXAMPLE 1. 7 Interpreting a position graph

Tactics: Drawing a pictorial representation

Tactics: Drawing a pictorial representation

General Problem-Solving Strategy

Draw a Pictorial Representation • Jane slams on her brakes while driving 30 mph and skids to a halt in 60 feet. How long does it take her to come to a stop?

• Analyze the graph. Describe the motion by creating a pictorial representation. Position (m) Graphical Representation 6 4 2 2 6 8 Time (s)

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