Question

a position - time graph is shown for a motorcycle driving south. according to the graph, what is the motorcycles average velocity? 5 km/h south 24 km/h south 120 km/h south 150 km/h south position vs time position (km) 150 120 90 60 30 0 1 2 3 4 5 time (h)

Explanation:

Step1: Recall average - velocity formula

$v_{avg}=\frac{\Delta x}{\Delta t}$

Step2: Determine $\Delta x$

The initial position $x_1 = 0$ km and the final position $x_2=150$ km, so $\Delta x=x_2 - x_1=150 - 0=150$ km.

Step3: Determine $\Delta t$

The initial time $t_1 = 0$ h and the final time $t_2 = 5$ h, so $\Delta t=t_2 - t_1=5 - 0 = 5$ h.

Step4: Calculate average velocity

$v_{avg}=\frac{\Delta x}{\Delta t}=\frac{150}{5}=30$ km/h south (since the motorcycle is driving south).

Answer:

30 km/h south