Scelta multipla
In kinematics, which statement correctly describes how speed and velocity differ?
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2. 1D Motion / Kinematics
Vectors, Scalars, & Displacement
Scelta multipla
In one-dimensional motion, which statement correctly distinguishes speed from velocity?
A
Speed is a scalar that depends only on the magnitude of motion, while velocity is a vector that includes both magnitude and direction.
B
Speed and velocity are both vectors because they always require a direction.
C
Velocity is a scalar equal to the total distance traveled divided by time, while speed is displacement divided by time.
D
Speed can be negative when moving in the negative direction, while velocity is always nonnegative.
Guida verificata passo dopo passo1
Step 1: Understand the definitions of speed and velocity in one-dimensional motion. Speed is a scalar quantity, meaning it only has magnitude (size) and no direction. Velocity is a vector quantity, meaning it has both magnitude and direction.
Step 2: Recognize that speed is calculated as the total distance traveled divided by the time taken, which does not consider direction. Mathematically, speed = \(\frac{\text{distance}\)}{\(\text{time}\)}.
Step 3: Understand that velocity is calculated as displacement divided by time, where displacement is a vector quantity representing the change in position with direction. Mathematically, velocity = \(\frac{\text{displacement}\)}{\(\text{time}\)}.
Step 4: Note that because velocity includes direction, it can be positive or negative depending on the direction of motion, while speed is always nonnegative since it only measures magnitude.
Step 5: Conclude that the correct distinction is: speed is a scalar depending only on magnitude, while velocity is a vector including both magnitude and direction.
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