Question

3 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. a 10 m/s b 5 m/s c 0.2 m/s d 0.1 m/s

Explanation:

Step1: Recall the formula for average velocity

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

Step2: Identify two points on the graph

From the graph, we can take two points. Let's take the initial point \((t_1, x_1)=(0, - 10)\) and the point \((t_2, x_2)=(10, 40)\).

Step3: Calculate the change in position (\(\Delta x\))

\(\Delta x=x_2 - x_1=40-(- 10)=40 + 10 = 50\space m\)

Step4: Calculate the change in time (\(\Delta t\))

\(\Delta t=t_2 - t_1=10 - 0=10\space s\)

Step5: Calculate the average velocity

Using the formula \( v=\frac{\Delta x}{\Delta t} \), we substitute \(\Delta x = 50\space m\) and \(\Delta t=10\space s\). So \( v=\frac{50}{10}=5\space m/s\)

Answer:

B. 5 m/s