MP Board · Class 9 · Science · MotionWhat does the area under a velocity-time graph represent? Explain briefly.

The area bounded by the velocity-time graph and the time axis represents the total displacement or distance covered by an object within a given interval of time. Since velocity is equal to displacement divided by time ($\text{Velocity} = \frac{\text{Displacement}}{\text{Time}}$), multiplying the velocity component on the y-axis by the time component on the x-axis yields displacement ($\text{Displacement} = \text{Velocity} \times \text{Time}$). For uniform velocity, this area forms a simple rectangle, while for uniform acceleration, it forms a triangle or trapezium.