Question

question 21
the slope of a position–time graph measures which of the following quantities?
(a) average acceleration
(b) instantaneous velocity
(c) average velocity
(d) distance

a

b

c

d

Explanation:

The slope of a position-time graph is calculated as the change in position ($\Delta x$) divided by the change in time ($\Delta t$). By definition, average velocity is $\frac{\Delta x}{\Delta t}$, which matches this slope. Instantaneous velocity is the slope of the tangent line at a single point, not the general slope of the graph. Average acceleration relates to the slope of a velocity-time graph, and distance is a scalar quantity not directly measured by this slope.

Answer:

c. average velocity