Question

1. what is the magnitude of the velocity of the motion depicted in the above graph? 0.5 m/s 12 m/s 6 m/s -0.5 m/s

Explanation:

Step1: Recall the formula for velocity

Velocity \(v=\frac{\Delta x}{\Delta t}\), where \(\Delta x\) is the change in position and \(\Delta t\) is the change in time.

Step2: Identify \(\Delta x\) and \(\Delta t\) from the graph

From the graph, the initial position \(x_{1} = 6m\) at \(t_{1}=0s\) and the final position \(x_{2}=0m\) at \(t_{2} = 12s\). So \(\Delta x=x_{2}-x_{1}=0 - 6=- 6m\) and \(\Delta t=t_{2}-t_{1}=12 - 0 = 12s\).

Step3: Calculate the velocity

\(v=\frac{\Delta x}{\Delta t}=\frac{-6}{12}=-0.5m/s\). But the question asks for the magnitude. The magnitude of \(-0.5m/s\) is \(|v| = 0.5m/s\).

Answer:

\(0.5m/s\) (the first option)