Question

In above shown graph of position versus time, two trains, X and Y are moving on parallel track from the same starting position from the rest. At time T

• A. Train X is moving faster than train Y
• B. Train Y is moving faster than train X
• C. Trains X and Y are moving at the same speed
• D. Train X is ahead of train Y
• E. Train Y is ahead of train X

Answer 1

The correct option is A Train X is moving faster than train Y

The slope of the curve under position-time graph gives the instantaneous velocity of the object.

At the instant $T$, the slope of curve X is greater than that of Y.

Hence at time $T$, train X has greater velocity than train Y.