Question

position vs time
the starting position of the object is m.
the object is traveling at a velocity of m/s.

Explanation:

Step1: Identify starting - position

The position - time graph intersects the position - axis at \(t = 0\). At \(t=0\), the position \(x = 3\) m.

Step2: Calculate velocity

Velocity \(v\) in a position - time graph is the slope of the line. The slope \(m=\frac{\Delta x}{\Delta t}\). Two points on the line are \((0,3)\) and \((3,12)\). \(\Delta x=12 - 3=9\) m and \(\Delta t=3 - 0 = 3\) s. So \(v=\frac{12 - 3}{3-0}=\frac{9}{3}=3\) m/s.

Answer:

The starting position of the object is \(3\) m. The object is traveling at a velocity of \(3\) m/s.