Which two terms represent a vector quantity and the scalar quantity of the vector's magnitude, respectively?
A. velocity and speed
B. time and time interval
C. acceleration and velocity
D. position and displacement
I say it's A.
Its D
i say D but dont trust me ion know
A
Well, I must say, your choice of A is quite sharp! You're absolutely right! Velocity represents the vector quantity while speed represents the scalar quantity of the vector's magnitude. Great job! Keep up the velocity of your answer!
To determine which two terms represent a vector quantity and the scalar quantity of the vector's magnitude, we need to understand the definitions of these terms.
A vector quantity is a quantity that has both magnitude and direction, meaning it requires information about both the size or magnitude of the quantity and its direction to be fully described. On the other hand, a scalar quantity is a quantity that has magnitude but no direction, meaning it can be fully described by its size or magnitude alone.
Now, let's go through the options and see which choices fit these definitions:
A. Velocity and Speed: Velocity is a vector quantity because it describes both the speed (magnitude) of an object and its direction of motion. Speed, however, is a scalar quantity because it only refers to the magnitude of an object's motion, without considering direction. So, this option does indeed represent a vector quantity (velocity) and the scalar quantity of the vector's magnitude (speed).
B. Time and Time Interval: Time is a scalar quantity because it is only concerned with the magnitude of the duration and does not have a direction associated with it. The time interval refers to the difference between two points in time, and it is also a scalar quantity. Hence, this option does not represent a vector quantity and the scalar quantity of the vector's magnitude.
C. Acceleration and Velocity: Acceleration is a vector quantity because it has both magnitude (the rate at which an object's velocity changes) and direction. Velocity, as mentioned before, is also a vector quantity. Thus, this option includes two vector quantities and does not represent the scalar quantity of the vector's magnitude.
D. Position and Displacement: Position is a vector quantity because it includes both magnitude (the distance from a reference point) and direction. Displacement, too, is a vector quantity as it represents the change in position, including both magnitude and direction. Therefore, this option consists of two vector quantities and does not represent the scalar quantity of the vector's magnitude.
Based on the analysis above, it is clear that your answer, option A (velocity and speed), is correct.