Question

name: mirunda e period: 6 chapter 2 key vocabulary (page 81) define the following terms according to the definition provided by the textbook. define acceleration ____ define average speed __ define average velocity __ define displacement __ define distance __ __ define kinematics __ define magnitude __ define position __ define reference frame __ define scalar __ define vector ____

Explanation:

• Acceleration: The rate of change of velocity with respect to time. In formula terms, \( a=\frac{\Delta v}{\Delta t} \), where \( \Delta v \) is the change in velocity and \( \Delta t \) is the change in time. It is a vector quantity (has magnitude and direction) and can involve changes in speed, direction, or both.
• Average Speed: The total distance traveled divided by the total time taken to travel that distance. The formula is \( \text{Average Speed}=\frac{\text{Total Distance}}{\text{Total Time}} \). It is a scalar quantity (only has magnitude).
• Average Velocity: The displacement of an object divided by the total time taken. Mathematically, \( \text{Average Velocity}=\frac{\text{Displacement}}{\text{Total Time}} \). It is a vector quantity as it depends on the direction of the displacement.
• Displacement: A vector quantity that describes the change in position of an object. It is the straight - line distance from the initial position to the final position, along with the direction from the initial to the final position.
• Distance: A scalar quantity that represents the total length of the path traveled by an object, regardless of the direction of motion.
• Kinematics: The branch of physics that deals with the motion of objects without considering the forces that cause the motion. It focuses on quantities like position, velocity, acceleration, and time.
• Magnitude: The size or quantity of a physical quantity. For example, the magnitude of a vector is its length (e.g., the magnitude of a velocity vector is the speed), and for a scalar, it is just the value of the scalar (e.g., the magnitude of a distance of 5 meters is 5).
• Position: The location of an object relative to a chosen reference point (or reference frame). It can be described using coordinates (e.g., in a Cartesian coordinate system, \( (x,y,z) \) for three - dimensional space).
• Reference Frame: A coordinate system (along with a set of rules for measuring time) in which the position, velocity, and other physical quantities of objects are measured. The choice of reference frame can affect how we describe the motion of an object (e.g., an object may be at rest in one reference frame but moving in another).
• Scalar: A physical quantity that has only magnitude (and no direction associated with it). Examples include distance, speed, mass, and time.
• Vector: A physical quantity that has both magnitude and direction. Examples include displacement, velocity, acceleration, and force.

Answer:

• Acceleration: The rate of change of velocity with time (\( a = \frac{\Delta v}{\Delta t} \)), vector quantity.
• Average Speed: Total distance over total time (\( \text{Average Speed}=\frac{\text{Total Distance}}{\text{Total Time}} \)), scalar quantity.
• Average Velocity: Displacement over total time (\( \text{Average Velocity}=\frac{\text{Displacement}}{\text{Total Time}} \)), vector quantity.
• Displacement: Vector - change in position (initial to final, straight - line with direction).
• Distance: Scalar - total path length traveled.
• Kinematics: Physics branch studying motion (excluding force causes).
• Magnitude: Size/quantity of a physical quantity.
• Position: Location relative to a reference point.
• Reference Frame: Coordinate system (and time rules) for measuring motion.
• Scalar: Quantity with only magnitude (e.g., distance, speed).
• Vector: Quantity with magnitude and direction (e.g., displacement, velocity).