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Questions and Answers
An object moves 50m east and then 30m north. What is the angle of the resultant displacement vector with respect to the east direction?
An object moves 50m east and then 30m north. What is the angle of the resultant displacement vector with respect to the east direction?
- arccos(50/30)
- arctan(50/30)
- arcsin(30/50)
- arctan(30/50) (correct)
A soccer player kicks a ball with a velocity of 20 m/s at an angle of 30° above the horizontal. What is the vertical component of the initial velocity?
A soccer player kicks a ball with a velocity of 20 m/s at an angle of 30° above the horizontal. What is the vertical component of the initial velocity?
- 20 * sin(30°) (correct)
- 20 / sin(30°)
- 20 / cos(30°)
- 20 * cos(30°)
A car moves east at 15 m/s and then accelerates at 2 m/s² northward for 5 seconds. What is the eastward component of the final velocity?
A car moves east at 15 m/s and then accelerates at 2 m/s² northward for 5 seconds. What is the eastward component of the final velocity?
- 0 m/s
- 15 m/s (correct)
- 10 m/s
- 25 m/s
A projectile is launched with an initial velocity of 20 m/s at an angle of 45° relative to the horizontal. Determine the x-component of the initial velocity.
A projectile is launched with an initial velocity of 20 m/s at an angle of 45° relative to the horizontal. Determine the x-component of the initial velocity.
A projectile is launched with an initial velocity of 20 m/s at an angle of 45° relative to the horizontal. What is the primary factor determining the time it takes to reach its highest point?
A projectile is launched with an initial velocity of 20 m/s at an angle of 45° relative to the horizontal. What is the primary factor determining the time it takes to reach its highest point?
What is the key difference between displacement and distance traveled in two dimensions?
What is the key difference between displacement and distance traveled in two dimensions?
How is the velocity vector in 2D described, and what mathematical tools are used to calculate its magnitude and direction?
How is the velocity vector in 2D described, and what mathematical tools are used to calculate its magnitude and direction?
How is a vector typically decomposed into its x and y components for analysis in two-dimensional motion?
How is a vector typically decomposed into its x and y components for analysis in two-dimensional motion?
What is the fundamental difference between velocity and speed?
What is the fundamental difference between velocity and speed?
How does acceleration affect the trajectory of an object in 2D motion?
How does acceleration affect the trajectory of an object in 2D motion?
Flashcards
What is displacement?
What is displacement?
The shortest distance between two points with direction, a vector quantity.
What is distance?
What is distance?
The total length of the path traveled, regardless of direction; a scalar quantity.
What is a vector?
What is a vector?
A quantity with both magnitude and direction (e.g., velocity, force).
What is vector decomposition?
What is vector decomposition?
Breaking down a vector into its horizontal (x) and vertical (y) components.
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What is velocity?
What is velocity?
Rate of change of displacement; a vector with magnitude and direction.
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What is speed?
What is speed?
The rate of change of position; a scalar quantity.
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What is acceleration?
What is acceleration?
The rate of change of velocity.
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What is trajectory?
What is trajectory?
The path an object takes through space.
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What is vector addition?
What is vector addition?
Combining vectors to find a single vector (resultant).
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What are vector components?
What are vector components?
Horizontal and vertical parts of a vector.
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Conceptual Questions
- What is the difference between displacement and distance traveled in 2D?
- How to explain that velocity in 2D is a vector and how to calculate its magnitude and direction
- How a vector decomposes into its x and y components
- What is the difference between velocity and speed
- How acceleration affects the trajectory of an object in 2D motion
Vector Addition and Components
- An object moves 50m East and then 30m North.
- Find the resultant displacement in magnitude and direction.
- Draw the graph of the resultant vector.
- A soccer player kicks a ball with a velocity of 20m/s at an angle of 30 degrees above the horizontal
- Find the Vx and Vy components of the initial velocity
- Calculate the magnitude of the velocity and its direction
Acceleration
- A car moves east at 15 m/s and then accelerates at 2m/s^2 northward for 5 seconds
- Find the final velocity in magnitude and direction
- A projectile launches with an initial velocity of 20m/s at an angle of 45 degrees relative to the horizontal.
- Determine the velocity in the x and y axes.
- Find how long it takes to reach the highest point.
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