Question

direction.
calculate the slope of the red portion of
the line.
two points on the line are:
(0, 5) and (2, 15).
position vs. time
what is the velocity of the object, as
represented by the slope of the red
portion of the line?

• 0.2 m/s

+ 5 m/s

• 5 m/s

Explanation:

Step1: Recall the slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).
Here, \((x_1, y_1)=(0, 5)\) and \((x_2, y_2)=(2, 15)\).

Step2: Substitute values into the formula

\( m=\frac{15 - 5}{2 - 0}=\frac{10}{2}=5 \).
Since the graph is position - time, the slope represents velocity. So the velocity is \( + 5\space m/s \).

Answer:

\( + 5\space m/s \) (corresponding to the option "+ 5 m/s")