Question

the graph illustrates the motion of an object moving in a straight line at constant speed. analyze the graph to determine the average velocity of the object. 10 m/s 5 m/s 0.2 m/s 0.1 m/s

Explanation:

Step1: Identify the formula for average velocity

The formula for average velocity \(v_{avg}=\frac{\Delta x}{\Delta t}\), where \(\Delta x\) is the change in position and \(\Delta t\) is the change in time.

Step2: Determine \(\Delta x\) and \(\Delta t\) from the graph

At \(t = 0\ s\), \(x=- 10\ m\); at \(t = 10\ s\), \(x = 40\ m\).
\(\Delta x=x_{final}-x_{initial}=40 - (-10)=50\ m\)
\(\Delta t=t_{final}-t_{initial}=10 - 0 = 10\ s\)

Step3: Calculate the average velocity

\(v_{avg}=\frac{\Delta x}{\Delta t}=\frac{50}{10}=5\ m/s\)

Answer:

\(5\ m/s\)