Question

The graph shows position as a function of time for two trains A and B running on parallel tracks. For time $t=t_B$, which of the following statement is true?

• A. Both trains are speeding up at the time $t=t_B$
• B. Both trains may have the same displacement at time $t_B$.
• C. At time $t_B$, both trains have the same velocity
• D. Graph indicates that both trains have the same acceleration at the given time $t=t_B$

Answer 1

The correct option is D Graph indicates that both trains have the same acceleration at the given time $t=t_B$

The slope of the position-time graph gives velocity and as velocity is constant for both cases, acceleration is zero for both.
Thus the graph indicates that both trains have the same acceleration at the given time.