Question

1. which graph shows an object that is not moving? * (look at the axis labels carefully) distance time a velocity time b velocity time c

Explanation:

Step1: Analyze Distance - Time Graph

In a distance - time graph, if the object is not moving, the distance does not change with time. A horizontal line in a distance - time graph means that as time ($t$) increases, the distance ($d$) remains constant ($\Delta d=0$). The slope of a distance - time graph is given by $m = \frac{\Delta d}{\Delta t}$. Since $\Delta d = 0$, the slope $m = 0$, which implies no motion.

Step2: Analyze Velocity - Time Graphs

• For the velocity - time graph in option B: A non - zero horizontal line in a velocity - time graph means the velocity ($v$) is constant ($v

eq0$). Using the formula $d=v\times t$ (where $d$ is distance and $t$ is time), as time increases, the distance covered by the object increases. So the object is in motion with a constant speed.

• For the velocity - time graph in option C: A sloped line in a velocity - time graph means the velocity is changing ($\Delta v

eq0$). Using the formula $a=\frac{\Delta v}{\Delta t}$ (where $a$ is acceleration), there is a non - zero acceleration. Also, using the equations of motion (e.g., $d = v_0t+\frac{1}{2}at^{2}$ where $v_0$ is initial velocity and $a$ is acceleration), as time increases, the distance covered by the object changes. So the object is in motion.

Answer:

A. Distance - Time graph with a horizontal line