Question

look at the picture. x - axis = distance on memory, x axis = time in seconds. what is the magnitude of the velocity of the object between (2,8) and (5,15)?

Explanation:

Step1: Recall the formula for velocity

Velocity \(v=\frac{\Delta y}{\Delta x}\), where \(\Delta y = y_2 - y_1\) and \(\Delta x=x_2 - x_1\).

Step2: Identify the points

Let \((x_1,y_1)=(2,6)\) and \((x_2,y_2)=(5,15)\).

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

\(\Delta y=15 - 6 = 9\), \(\Delta x=5 - 2=3\).

Step4: Calculate velocity

\(v=\frac{\Delta y}{\Delta x}=\frac{9}{3}=3\) m/s.

Answer:

3 m/s