Question

question 10 (1 point)
the following graph represents the position as a function of time for a moving object.
what is the velocity of the object?
a. 4 m/s
b. 20 m/s
c. 8 m/s
d. 5 m/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 graph

Let's take the points \((t_1 = 0,x_1=0)\) and \((t_2 = 8,x_2 = 40)\)

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

\(\Delta x=x_2 - x_1=40 - 0 = 40\) m, \(\Delta t=t_2 - t_1=8 - 0 = 8\) s

Step4: Calculate velocity

\(v=\frac{\Delta x}{\Delta t}=\frac{40}{8}=5\) m/s

Answer:

D. \(5\) m/s