Question

calculating velocity
based on the information presented in the graph, what is the velocity of the object?
m/s
position vs time
position (m)
time (s)

Explanation:

Step1: Recall the formula for velocity

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

Step2: Identify two points on the line

Let's take the points \((t_1,x_1)=(0,3)\) and \((t_2,x_2)=(4,15)\)

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

\(\Delta x=x_2 - x_1=15 - 3 = 12\) m
\(\Delta t=t_2 - t_1=4-0 = 4\) s

Step4: Calculate the velocity

\(v=\frac{\Delta x}{\Delta t}=\frac{12}{4}=3\) m/s

Answer:

3