Motion graphs encode all kinematic information. Mastering graph interpretation is crucial for JEE.

Position-Time (x-t):

• Straight line: constant velocity (slope = v)
• Parabola: constant acceleration (slope changes linearly)
• Horizontal line: object at rest
• Slope at any point = instantaneous velocity

Velocity-Time (v-t):

• Straight line: constant acceleration (slope = a)
• Horizontal line: zero acceleration
• Line crossing t-axis: direction reversal
• Area above axis: positive displacement
• Area below axis: negative displacement
• Total distance = sum of absolute areas

Acceleration-Time (a-t):

• Area under curve = change in velocity
• Constant a: horizontal line in a-t
• Variable a: curve in a-t

Key Relationships:

• x-t slope -> v-t value
• v-t slope -> a-t value
• v-t area -> change in x
• a-t area -> change in v

JEE Strategy: For graph-based questions, identify the type of graph, read slopes and areas carefully, and watch for direction changes (where v crosses zero).