Quadratic Cliff Jumping

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Quadratic Cliff Jumping

• Deann Anguiano
• Laura Moore-Mueller
• Russ Ballard
• Lake Chelan Conference 2008

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Motion along a curved path

• What is happening
• The scene is messy
• What can be assumed
• What are the concepts

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Why use projectile motion?

• Position vs. position graph
• Apply regression curve
• First few points do not work

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Which points?

• Depends on whats occurring
• Symmetry
• Vertex

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Hot wheels

• Instructions
• You have a sheet for the activity
• Data gathering
• Gather as much data as possible
• Three to four runs is a minimum

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Challenge cup

• Team Crimson
• Given a height you pick position
• Team Silver
• Given a position you pick the height

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Tossing the ball

• Watch the ball being tossed into the air
• Plot a d vs. t graph of the motion on your ball
  toss graph

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Tossing the ball

• Exchange with a neighbor
• Answer questions based on graph in front of you
• How long was the ball in the air?
• Is the vertical distance as the ball travels
  upward the same or different as the vertical
  distance traveled downward?
• Is the time from the launch to the vertex the
  same as the vertex to the ground?

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Why use distance vs time?

• Return the graph to the owner and owners now
  reflect
• What kind of motion did I graph?
• If it was incorrect why would the graph mislead a
  student?
• If necessary redraw the graph on the opposite
  side of the paper.

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What is the motion?

• In the horizontal?
• In the vertical?
• Motion is parametric
• Look at the vertical motion

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Horizontal motion
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Vertical motion
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a(t) -9.81 m/sec2 v(t) area in graph in the
rectangle Therefore v(t) -9.81m/s2 t(s) Or
the ball is traveling at -9.81t m/s after t
seconds
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Initial velocity is zero at the top After one
second it -9.81 m/s Slope is constant so the
area under the curve is a triangle ½ base
height ½ t(s) (-9.81t m/s) -4.9 t2 (m)
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Y At2 Bt C A-4.844 B6.513 C-1.168
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T3 clip

• Calculate if the TX will make to the hearse roof.
• Distance and speed of hearse 20 m/s 26 m travel
• Distance vertical that TX will fall 8.3 m
• Distance at speed horizontal she is traveling 7.9
  m/s 10.3 m

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Vernier LoggerPRo

• Hand out Vernier LoggerPRo profile

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Video Analysis

• Demo video analysis of the clip if time

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All info is located at russballard.com/workshop/ch
elan conference 2008
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Questions?