Question

1. the slope of a position versus time graph represents: *

a. acceleration.
b. force.
c. position.
d. speed.

1. the rate of change in the speed of an object is known as: *

a. velocity.
b. displacement.
c. acceleration.
d. equilibrium.

Explanation:

• For the first question: In a position - time graph, the slope is calculated as $\frac{\Delta x}{\Delta t}$. By the definition of speed ($v=\frac{\Delta x}{\Delta t}$), the slope of a position - time graph represents speed.
• For the second question: Acceleration is defined as the rate of change of velocity (and speed is the magnitude of velocity). Mathematically, $a = \frac{\Delta v}{\Delta t}$.

Answer:

1. d. speed
2. c. acceleration