Final answer:
Velocity involves direction and displacement, which includes both magnitude and direction, unlike speed, which is a scalar and does not include direction. Acceleration is the rate of change of velocity, and in a velocity-time graph, time is plotted on the x-axis and velocity on the y-axis.
Step-by-step explanation:
While speed is a scalar quantity that refers to how fast an object is moving without considering its direction, velocity is a vector quantity that includes both the speed of the object and its direction of travel. Hence, velocity involves direction and displacement, not just distance traveled. Displacement refers to the straight-line distance between the starting point and the ending point, along with the direction of that line.
The rate of change of velocity is called acceleration, answering the related question. Furthermore, when comparing speed and velocity, instantaneous speed and instantaneous velocity can be the same if there is no change in direction of motion. In a velocity-time graph, time is typically represented on the x-axis as the independent variable, and velocity on the y-axis as the dependent variable.
In summary, displacement and velocity are vectors (they have both magnitude and direction), whereas distance and speed are scalars (they have only magnitude without direction).