The velocity (v) - Distance (x) graph is shown in figure. Which graph represents acceleration (a) versus distance (x) variation of this system?

Step-by-step solution

The v-x graph shows velocity decreasing linearly with distance. Using kinematic equation v^2 = v₀^2 + 2ax , we can establish the relationship between acceleration and position. From the linear v-x relationship, differentiating using a = v dv dx yields acceleration that is linearly proportional to distance from the origin. The a-x graph shows a straight line passing through the origin with positive slope, indicating that acceleration increases linearly with distance while remaining positive throughout the motion.