Question

position vs time
use the graph to determine the velocity between 6 and 12 seconds.
v m/s
what was the velocity over the entire trip?
v m/s

Explanation:

Step1: Find position at 6 and 12s

At \( t=6s \), position \( x_1=12m \); at \( t=12s \), position \( x_2=0m \).

Step2: Calculate velocity (6-12s)

Velocity \( v=\frac{x_2-x_1}{t_2-t_1}=\frac{0-12}{12-6}=-2m/s \).

Step3: Find total displacement

Initial position \( x_0=0m \), final position \( x_{12}=0m \), so displacement \( \Delta x=0-0=0m \).

Step4: Calculate total trip velocity

Total time \( t=12s \), velocity \( v=\frac{0}{12}=0m/s \).

Answer:

• Velocity between 6 and 12 seconds: -2 m/s
• Velocity over the entire trip: 0 m/s