Question

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

Explanation:

Step1: Recall the formula for velocity

Velocity \(v=\frac{\Delta y}{\Delta x}\) (since in a distance - time graph, the slope gives the velocity).

Step2: Use the point \((2,3)\)

We know that when \(x = 0,y=0\) (the line passes through the origin \((0,0)\)) and another point \((2,3)\).
\(\Delta y=y_2 - y_1\), \(y_2 = 3,y_1=0\); \(\Delta x=x_2 - x_1\), \(x_2 = 2,x_1 = 0\)
\(v=\frac{3 - 0}{2 - 0}=\frac{3}{2}=1.5\)

Answer:

The velocity of the object is \(1.5\) meters per second.