Motion Maps

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Motion Maps
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Motion Map Parts

• The dot Indicates the position of the
• object
• The arrow indicates the direction and
• speed of the object. (sometimes called a
  
• vector)

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Dots and Arrows Together

• Dot alone not moving.
• Dot and arrow together
• Position, direction and speed.

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Direction and Size

• Right positive direction
• Left negative direction

• The longer the arrow, the greater the velocity.

SLOW
FASTER
FASTEST
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The grid.

• Motion Maps are drawn along a grid to show the
  position of the object.
• Draw a minimum of 3 arrows to show a pattern.

Forward, Constant Velocity, Slow
Forward, Constant Velocity, Faster
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More Complicated Motion

• The object moves forward at constant velocity,
• then stops and remains in place for two seconds,
• then moves backward at a slower constant
  velocity.

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Example 1
The car is accelerating! Each successive arrow
is longer, indicating the velocity is increasing.
Draw a motion map.
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Example 2
The car is accelerating! Each successive arrow
is SMALLER, indicating the velocity is decreasing
over time.
The car is NOT moving. A dot indicates time is
passing, but no arrow means no velocity.
The car is moving at constant velocity! The
arrows are all the same size, this indicates that
the velocity is NOT changing.
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• A softball player slides into second base. Use
  the particle model to draw a motion diagram of
  the player from the lime he begins to slide until
  he reaches the base. Number the dots in order,
  starting with zero.

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• A skydiver jumps out of an airplane. Her speed
  steadily increases until she deploys her
  parachute, at which point her speed quickly
  decreases. She subsequently falls to earth at a
  constant rate, stopping when she lands on the
  ground. Draw a motion diagram, using the particle
  model, that shows her position at successive
  times and includes velocity vectors.

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• A car travels to the left at a steady speed for a
  few seconds, then brakes for a stop sign. Use the
  particle model to draw a motion diagram of the
  car for the entire motion described here. Number
  the dots in order. starting with zero.

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• Interpret the problem by drawing a motion diagram
  (do not solve the problem). In a typical
  greyhound race, a dog accelerates to a speed of
  20 m/s over a distance of 30 m. It then maintains
  this speed. What would be a greyhounds time in
  the 100 m dash?

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• Interpret the problem by drawing a motion diagram
  (do not solve the problem). The giant eland, an
  African antelope, is an exceptional jumper, able
  to leap 1.5 m off the ground. To jump this high,
  with what speed must the eland leave the ground?

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• Write a one or two sentence story about a real
  object that has this motion diagram. Your story
  should talk about people or objects by name and
  say what they are doing.

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• A bowling ball is at rest at the top of an
  incline. You nudge the ball giving it an initial
  velocity and causing it to roll down an incline.
  At the bottom of the incline it bounces off a
  sponge and travels back up the incline until it
  stops.