Question

2 interpret the velocity of the object shown in the distance (miles) vs. time (hours) graph shown below.

Explanation:

Step1: Recall the formula for velocity

Velocity \(v=\frac{\Delta s}{\Delta t}\), where \(\Delta s\) is the change in distance and \(\Delta t\) is the change in time.

Step2: Identify two points on the line

Let's take two points. For example, when \(t = 0\), \(s=2\) (point \((0,2)\)) and when \(t = 2\), \(s = 6\) (point \((2,6)\)).

Step3: Calculate \(\Delta s\) and \(\Delta t\)

\(\Delta s=s_2 - s_1=6 - 2 = 4\) miles, \(\Delta t=t_2 - t_1=2-0 = 2\) hours.

Step4: Compute the velocity

\(v=\frac{\Delta s}{\Delta t}=\frac{4}{2}=2\) miles per hour.

Answer:

The velocity of the object is \(2\) miles per hour.