CP Workbook
2D Projectiles
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Use the scale 1 cm = 5 m, list in the table provided the vertical positions of a ball dropped from rest at 1-second intervals. Neglect air resistance and assume g = 10 m/s
^{2}
. When the ball is no longer in the air, enter NA into the forms provided.
The first column states the
time
in seconds.
The second column states the ball's
instantaneous displacement
from the top of the cliff.
1 sec
2 secs
3 secs
4 secs
5 secs
6 secs
When you "mentally" connect the ball's positions with a smooth curve to show its path, what is the path's shape?
The first four horizontal positions of the thrown ball with no gravity are plotted at 1-second intervals. Using the scale, 1 cm = 5 m, along with the facts that air resistance can be neglected and g = 10 m/s
^{2}
, list both the horizontal and vertical positions of the ball at the end of each 1-second interval.
The first column states the
time
in seconds.
The second column states the ball's
instantaneous vertical displacement
from the top of the cliff.
The third column states the ball's
instantaneous horizontal displacement
from the edge of the cliff.
1 sec
2 secs
3 secs
4 secs
When you "mentally" connect the ball's positions with a smooth curve to show its path, what is the path's shape?
How is the motion in the vertical direction affected by the motion in the horizontal direction?
This time the ball is thrown below the horizontal. Using the same scale, 1 cm = 5 m, along with the facts that air resistance can be neglected and g = 10 m/s
^{2}
, list both the horizontal and vertical positions of the ball at the end of each 1-second interval.
The first column states the
time
in seconds.
The second column states the ball's
instantaneous vertical displacement
from the top of the cliff.
The third column states the ball's
instantaneous horizontal displacement
from the edge of the cliff.
1 sec
2 secs
3 secs
4 secs
When you "mentally" connect the ball's positions with a smooth curve to show its path, how does its shape differ from that created in the previous question?
Estimate the number of seconds the ball remains in the air.
Refer to the following information for the next question.
Suppose that you are an accident investigator and you are asked to figure out whether or not the car was speeding before it crashed through the rail of the bridge and into the mudbank as shown. The speed limit on the bridge is 55 mph = 24 m/s.
What is your conclusion?
traveling slower than the speed limit
traveling at the speed limit
traveling faster than the speed limit
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Accelerated Motion: A Data Analysis Approach
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Accelerated Motion: Velocity-Time Graphs
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Analyzing SVA Graph Combinations
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Average Velocity - A Calculus Approach
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Chase Problems
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Chase Problems: Projectiles
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Comparing Constant Velocity Graphs of Position-Time & Velocity-Time
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Constant Velocity: Position-Time Graphs
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Constant Velocity: Velocity-Time Graphs
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Derivation of the Kinematics Equations for Uniformly Accelerated Motion
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Derivatives: Instantaneous vs Average Velocities
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Directions: Flash Cards
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Freefall: Horizontally Released Projectiles (2D-Motion)
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Freefall: Projectiles in 1-Dimension
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Freefall: Projectiles Released at an Angle (2D-Motion)
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Monkey and the Hunter
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Summary: Graph Shapes for Constant Velocity
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Summary: Graph Shapes for Uniformly Accelerated Motion
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SVA: Slopes and Area Relationships
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Vector Resultants: Average Velocity
Review:
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Test #1: APC Review Sheet
Worksheet:
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Hackensack
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The Baseball Game
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The Big Mac
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The Cemetary
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The Golf Game
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The Spring Phling
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Dropped From Rest
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Freefall
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Non-Accelerated and Accelerated Motion
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Tossed Ball
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Up and Down
NT -
Average Speed
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Back-and-Forth
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Crosswinds
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Headwinds
NT -
Monkey Shooter
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Pendulum
NT -
Projectile
WS -
Accelerated Motion: Analyzing Velocity-Time Graphs
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Accelerated Motion: Graph Shape Patterns
WS -
Accelerated Motion: Practice with Data Analysis
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Advanced Properties of Freely Falling Bodies #1
WS -
Advanced Properties of Freely Falling Bodies #2
WS -
Advanced Properties of Freely Falling Bodies #3
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Average Speed and Average Velocity
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Average Speed Drill
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Charged Projectiles in Uniform Electric Fields
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Chase Problems #1
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Chase Problems #2
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Chase Problems: Projectiles
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Combining Kinematics and Dynamics
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Constant Velocity: Converting Position and Velocity Graphs
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Constant Velocity: Position-Time Graphs #1
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Constant Velocity: Position-Time Graphs #2
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Constant Velocity: Position-Time Graphs #3
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Constant Velocity: Velocity-Time Graphs #1
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Constant Velocity: Velocity-Time Graphs #2
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Constant Velocity: Velocity-Time Graphs #3
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Converting s-t and v-t Graphs
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Energy Methods: More Practice with Projectiles
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Energy Methods: Projectiles
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Force vs Displacement Graphs
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Freefall #1
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Freefall #2
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Freefall #3
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Freefall #3 (Honors)
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Horizontally Released Projectiles #1
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Horizontally Released Projectiles #2
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Kinematics Along With Work/Energy
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Kinematics Equations #1
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Kinematics Equations #2
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Kinematics Equations #3: A Stop Light Story
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Lab Discussion: Gravitational Field Strength and the Acceleration Due to Gravity
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Position-Time Graph "Story" Combinations
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Projectiles Released at an Angle
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Rotational Kinetic Energy
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SVA Relationships #1
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SVA Relationships #2
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SVA Relationships #3
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SVA Relationships #4
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SVA Relationships #5
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Work and Energy Practice: An Assortment of Situations
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2A: Introduction to Motion
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2B: Average Speed and Average Velocity
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Antiderivatives and Kinematics Functions
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Honors: Average Speed/Velocity
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Kinematics Derivatives
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Projectile Summary
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Projectile Summary
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Projectiles Mixed (Vertical and Horizontal Release)
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Projectiles Released at an Angle
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Set 3A: Projectiles
Paul G. Hewitt
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All rights reserved.
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permission.
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