Question

1. interpret the velocity of the object shown in the distance (meters) vs. time (seconds) graph.

Explanation:

Step1: Recall the formula for velocity from a distance - time graph

Velocity \(v=\frac{\Delta y}{\Delta x}\) (where \(y\) represents distance and \(x\) represents time).

Step2: Select two points on the line

Let's take the points \((0.5,0)\) and \((1.5,2)\).

Step3: Calculate the change in \(y\) and change in \(x\)

\(\Delta y=y_2 - y_1=2 - 0 = 2\), \(\Delta x=x_2 - x_1=1.5 - 0.5=1\).

Step4: Calculate the velocity

\(v = \frac{\Delta y}{\Delta x}=\frac{2}{1}=2\) m/s.

Answer:

The velocity of the object is \(2\) meters per second.