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What is a vector?

A quantity with both magnitude and direction.

All Flashcards

What is a vector?
A quantity with both magnitude and direction.
What is a resultant vector?
The single vector representing the overall effect of multiple vectors.
Define vector components.
Projections of a vector onto coordinate axes (e.g., x and y).
What is magnitude of a vector?
The length or size of the vector, representing the quantity's amount.
Define the x-component of a vector.
The horizontal component of a vector, found using $A_x = A \cos \theta$.
Define the y-component of a vector.
The vertical component of a vector, found using $A_y = A \sin \theta$.
What is the effect of increasing the angle of a projectile launch (up to 45 degrees) on its range?
Increases the range.
What is the effect of increasing the magnitude of a force applied to an object?
Increases the object's acceleration (Newton's Second Law).
What happens when the net force on an object is zero?
The object remains at rest or continues to move at a constant velocity (Newton's First Law).
What is the effect of increasing the coefficient of friction between two surfaces?
Increases the frictional force between the surfaces.
What happens to the vertical component of velocity of a projectile at its maximum height?
It becomes zero.
What are the differences between scalar and vector quantities?
Scalar: Magnitude only (e.g., speed, mass). Vector: Magnitude and direction (e.g., velocity, force).
What are the differences between sine and cosine in vector resolution?
Sine: Used for the opposite side (usually y-component). Cosine: Used for the adjacent side (usually x-component).
Difference between static and kinetic friction?
Static friction: Prevents motion from starting. Kinetic friction: Opposes motion that is already occurring.
Difference between displacement and distance?
Displacement: Change in position (vector). Distance: Total length traveled (scalar).
Difference between speed and velocity?
Speed: How fast an object is moving (scalar). Velocity: How fast and in what direction an object is moving (vector).