Question

calculate the slope of the red portion of the line.
two points on the line are:
(4, 25) and (6, 25).
position vs. time
what is the velocity of the object, as represented by the slope of the red portion of the line?
0 m/s

• 5 m/s

+ 5 m/s

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify coordinates

Let \((x_1, y_1)=(4, 25)\) and \((x_2, y_2)=(6, 25)\).

Step3: Substitute into formula

Substitute into the slope formula: \( m=\frac{25 - 25}{6 - 4}=\frac{0}{2}=0 \).

Answer:

The slope of the red portion of the line (which represents velocity in a position - time graph) is \( 0\space m/s \). So the correct option is \( 0\space m/s \).