Question

Which graph represents the motion of an object traveling with a positive velocity and a negative acceleration?

Answer 1

I believe the correct answer from the figure given  above is the second option. The graph that represents the motion of an object traveling with a positive velocity and a negative acceleration would be graph 2 where a curve is shown where y increases as x increases. Hope this answers the question.

Answer 2

Answer
graph 2

Explanation
Velocity is the rate of change of displacement. 
Velocity = (change in displacement)/(change is time)
In graph 2, the gradient of the curve is positive, indicating that the velocity is positive.
Acceleration is the rate of change of velocity. 
The steepness of the slope of the same graph (graph 2) is decreasing. This shows that the velocity is decreasing hence a negative acceleration.