Acceleration/velocity opposite signs

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The discussion focuses on the relationship between velocity and acceleration when they have opposite signs, specifically in the context of drawing a velocity-time (v-t) graph. It is established that when velocity is positive and acceleration is negative, the object is decelerating, indicating a decrease in speed. A line with a negative slope in the v-t graph represents this scenario, confirming that the object is slowing down while remaining above the x-axis. The discussion also notes that the opposite scenario, where velocity is negative and acceleration is positive, can similarly be illustrated.

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1. How do I draw a v-t graph to prove a scenerio where velocity and acceleration have opposite signs?



2. I know that by having opposite signs, it shows that the object is slowing down



3. Would it be a line with a negative slope? (thinking that the graph is just showing the quadrant I)
 
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That would be one example (where the velocity is positive--above the x-axis--while slope is negative). You can also do the opposite.
 

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