9. describe the motion and acceleration.\nwork:\nanswer:
9. describe the motion and acceleration.\nwork:\nanswer:
Answer
Explanation:
Step1: Identify the relationship between velocity and time
The graph shows velocity increasing over time, indicating positive motion.
Step2: Determine acceleration from the graph's slope
Acceleration is the slope of the velocity-time graph ($a = \frac{\Delta v}{\Delta t}$).
Step3: Analyze the change in slope
The curve gets steeper over time, meaning the slope (acceleration) is increasing.
Step4: Calculate average acceleration for intervals
From $t=0$ to $t=1$, $a \approx \frac{2-1}{1} = 1$; from $t=1.8$ to $t=2.4$, $a \approx \frac{6-4}{0.6} \approx 3.3$.
Answer:
The object is moving in a positive direction with increasing velocity. Since the slope of the velocity-time graph is positive and becoming steeper, the object is undergoing positive, non-uniform acceleration (increasing acceleration).