Acceleration/velocity opposite signs

[jbp890]

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)

 

[Doc Al]

That would be one example (where the velocity is positive--above the x-axis--while slope is negative). You can also do the opposite.