Question

question 1 - 5 which of the graphs above display constant velocity? a and d b and c a, b, c, and d none of the graphs display constant velocity

Explanation:

Step1: Recall velocity - time graph concept

In a velocity - time ($v - t$) graph, constant velocity is represented by a horizontal line. This is because the rate of change of velocity (acceleration) is zero for constant velocity, and the slope of a $v - t$ graph gives acceleration ($a=\frac{\Delta v}{\Delta t}$). When $a = 0$, $\Delta v=0$ over any time interval $\Delta t$.

Step2: Analyze each graph

• Graph A: It has a horizontal line for velocity, which means the velocity does not change with time, so it represents constant velocity.
• Graph B: The velocity is changing with time as the line is sloped, so it does not represent constant velocity.
• Graph C: The velocity is changing with time as the line is sloped, so it does not represent constant velocity.
• Graph D: It has a horizontal line for velocity, which means the velocity does not change with time, so it represents constant velocity.

Answer:

A. A and D