Conceptual Rel. Vel.
and 2-Dimensional Rel. Vel.
and 2-Dimensional Rel. Vel.
A football is thrown into the wind. If the football was moving at 30 m/s, would the relative speed of the football from the perspective of an observer be greater or less than 30 m/s?
Less than 30 m/s.
b/c wind is moving against the football.
Ella is learning to ski. She was on the conveyor belt helping her back up the slope. If she was standing on the conveyor belt that is moving at 1.23 m/s, what is her speed relative to an outside observer?
What is... 1.23 m/s
(outside observer is not a part of the 'system' so sees overall speed of Ella. Ella is not moving but surface underneath her is.)
Aiden and Owen are racing. Aiden is running at 3.45 m/s. Owen is running at 3.46 m/s. What is Aiden's speed relative to an outside observer?
What is... 3.45 m/s
(outside observer is not a part of the 'system' so sees overall speed of Aiden. Nothing is moving under Aiden so nothing needs to be added or subtracted)
The Airport Terminal. Lizzie chooses to take the moving sidewalk that is moving at 2 m/s. Addie is walking on the ground next to the sidewalk.
Initially both Lizzie and Addie are standing still on their respective surfaces. What is Lizzie's speed relative to Addie?
What is...2 m/s.
(Two separate systems. When comparing rel. vel. between two objects on separate systems, find the overall speed of each, then compare.)
Maggie and Zoe are vacationing on yachts off the coast of Italy. They are on separate yachts. Maggie's yacht is moving at 30 m/s East. Zoe's is moving at 40 m/s West.
If both Maggie and Zoe are STATIONARY, what is Maggie's speed relative to Zoe?
What is...70 m/s.
(Two separate systems. When comparing rel. vel. between two objects on separate systems, find the overall speed of each, then compare. in this case since in opp. directions. we add)
A boat wants to hit a dock that is directly across a river. The boat would have to move due East to get to the dock. If the current is moving due South, roughly in what direction should the boat's captain angle it in order to perfectly meet the dock?
What is...
roughly in the NorthEast direction.
Ella is learning to ski. She was on the conveyor belt helping her back up the slope. If she was standing on the conveyor belt that is moving at 1.23 m/s but gets a little spooked and tries to walk backwards down the conveyor belt at 0.37 m/s, what is her speed relative to an outside observer?
What is... 0.84 m/s
(outside observer is not a part of the 'system' so sees overall speed of Ella. Ella moving AGAINST the moving surface underneath her so we subtract here.)
DAILY TRIPLE:
Aiden and Owen are racing. Aiden is running at 3.45 m/s. Owen is running at 3.46 m/s. What is Aiden's speed relative to Owen? (assume they are running in the same direction)
What is... - 0.01 m/s
(Two objects moving in same direction ~ subtract.)
The Airport Terminal. Lizzie chooses to take the moving sidewalk that is moving at 2 m/s. Addie is walking on the ground next to the sidewalk.
Lizzie starts running on the walkway at 5 m/s in the same direction. What is Lizzie's speed relative to the walkway?
What is...5 m/s.
Maggie and Zoe are vacationing on yachts off the coast of Italy. They are on separate yachts. Maggie's yacht is moving at 30 m/s East. Zoe's is moving at 40 m/s West. If Maggie is walking East at 5 m/s, what is Zoe's speed relative to Maggie?
What is...75 m/s.
(Two separate systems. When comparing rel. vel. between two objects on separate systems, find the overall speed of each, then compare. Maggie is moving in same direction as her yacht so we add hers to her total.)
A plane is flying towards a hurricane at 200 m/s due East. Someone sees the plane moving at 250 m/s in a direction roughly NE (angle not important here). What is the speed of the winds? (DRAW A PICTURE)
What is...150 m/s.
Pythagorean theorem to find missing side.
Ella is learning to ski. She was on the conveyor belt helping her back up the slope. If she was standing on the conveyor belt that is moving at 1.23 m/s and gets impatient...starting to walk up conveyor at 0.87 m/s, what is her speed relative to an outside observer?
What is... 2.10 m/s
(outside observer is not a part of the 'system' so sees overall speed of Ella. Ella is moving AND surface underneath her is moving in same direction so we add.)
Aiden and Owen are racing. Aiden is running at 3.45 m/s. Owen is running at 3.46 m/s. What is Owen's speed relative to Aiden?
What is... 0.01 m/s
(Two objects moving in same direction ~ subtract)
STEAL POINTS OPTION:
The Airport Terminal. Lizzie chooses to take the moving sidewalk that is moving at 2 m/s. Addie is walking on the ground next to the sidewalk.
Lizzie starts running on the walkway at 5 m/s in the same direction. What is Lizzie's speed relative to Addie who is standing still?
What is...7 m/s
(Two separate systems. When comparing rel. vel. between two objects on separate systems, find the overall speed of each, then compare.
Lizzie's overall: 9 m/s. Addie is not moving.)
Maggie and Zoe are vacationing on yachts off the coast of Italy. They are on separate yachts. Maggie's yacht is moving at 30 m/s East. Zoe's is moving at 40 m/s West. If Maggie is running East at 7 m/s and Zoe is running West at 9 m/s, what is Maggie's speed relative to Zoe?
What is...86 m/s.
(Two separate systems. When comparing rel. vel. between two objects on separate systems, find the overall speed of each, then compare.
Maggie's overall: 37 m/s east. Zoe's overall: 49 m/s west. Overall they are moving towards each other so add = 86 m/s)
A boat tries to move North across a river at 12 m/s. The current is moving West at 5 m/s. What is the velocity of the boat relative to an observer on the shore?
(no direction necessary here)
What is...13 m/s.
Draw a picture. Use Pythagorean theorem.
Ella is learning to ski. She was on the conveyor belt helping her back up the slope. If she was standing on the conveyor belt that is moving at 1.23 m/s and gets impatient...starting to walk up conveyor at 0.87 m/s, what is her speed relative to the moving conveyor belt?
What is...+0.87 m/s.
(The observer in this case IS a part of the 'system' so sees relative speed of Ella since the walkway does not 'recognize' that it is moving)
Aiden and Owen are running towards each other. Aiden is running at 3.45 m/s. Owen is running at 3.46 m/s. What are BOTH Aiden's AND Owen's speed relative to an outside observer?
(remember to include direction for both)
What is +3.45 m/s for Aiden and -3.46 m/s for Owen.
(OR -3.45 m/s for Aiden and +3.46 m/s for Owen)
The Airport Terminal. Lizzie chooses to take the moving sidewalk that is moving at 2 m/s. Addie is walking on the ground next to the sidewalk.
Lizzie dropped something and starts running on the walkway at 5 m/s in the OPPOSITE direction of the walkway. Addie starts walking in same direction as walkway at 3 m/s, what is Lizzie's speed relative to Aiden?
What is...6 m/s.
(Two separate systems. When comparing rel. vel. between two objects on separate systems, find the overall speed of each, then compare.
Lizzie's overall: -3 m/s. Addie's overall: 3 m/s. Moving towards each other so add.)
Maggie and Zoe are vacationing on yachts off the coast of Italy. They are on separate yachts. Maggie's yacht is moving at 30 m/s East. Zoe's is moving at 40 m/s West. If Maggie is running West at 10 m/s and Zoe is also running West at 8 m/s, what is Maggie's speed relative to Zoe?
What is...68 m/s
(Two separate systems. When comparing rel. vel. between two objects on separate systems, find the overall speed of each, then compare.
Maggie's overall: 20 m/s east. Zoe's overall: 48 m/s west. Overall they are moving towards each other so add = 68 m/s)
A plane is flying at 240 m/s due East. It hits a crosswind of 100 m/s due North. What would the magnitude AND DIRECTION be for the velocity of the plane be relative to someone on the ground?
What is...260 m/s at 22.6ยบ N of E.
Pythagorean theorem for relative velocity and inverse tangent for angle.
Ella is learning to ski. She was on the conveyor belt helping her back up the slope. If she was standing on the conveyor belt that is moving at 1.23 m/s and begins walking up the conveyor at 0.87 m/s against a wind of 0.35 m/s AGAINST her, what is her overall speed relative to an outside observer?
What is...1.75 m/s.
(outside observer is not a part of the 'system' so sees overall speed of Ella. Ella is moving AND surface underneath her is moving in same direction so we add. Wind is in opposite direction so we subtract here.)
Aiden and Owen are running in opposite directions. Aiden is running at 3.45 m/s. Owen is running at 3.46 m/s in the opposite direction. What is Aiden's speed relative to Owen?
What is... 6.91 m/s.
(Two objects moving in opposite direction ~ add. Nothing is moving under Aiden/Owen so nothing needs to be added or subtracted.)
The Airport Terminal. Lizzie chooses to take the moving sidewalk that is moving at 2 m/s. Addie is walking on the ground next to the sidewalk.
Lizzie is running on the walkway at 5 m/s in the SAME direction. Addie starts running in OPPOSITE direction of the walkway at 7m/s, what is Lizzie's speed relative to Addie?
What is...14 m/s.
(Two separate systems. When comparing rel. vel. between two objects on separate systems, find the overall speed of each, then compare.
Lizzie's overall: 7 m/s forward. Addie's overall: 7 m/s back. Moving towards each other so add.)
Maggie and Zoe are vacationing on yachts off the coast of Italy. They are on separate yachts. Maggie's yacht is moving at 30 m/s East. Zoe's is moving at 40 m/s West.
Maggie is on a moving sidewalk that is moving at 2 m/s East. Maggie is ALSO running on the sidewalk at 3 m/s East. Zoe is running on the deck of her yacht West at 8 m/s, what is Zoe's speed relative to Maggie?
What is...83 m/s
(Two separate systems. When comparing rel. vel. between two objects on separate systems, find the overall speed of each, then compare.
Maggie overall: 35 m/s east. Zoe overall: 48 m/s west. Overall they are moving towards each other so add = 83 m/s)