The plot shows the position $(x)$ as a function of time $(t)$ for two trains that run on a parallel track. Train $A$ is next to train $B$ at $t = 0$ and at $t = T_{0}$ .

T_{0}

, both the rains have the same velocity.

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Both the train speed up all the times.

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Both the trains have the same velocity at some time before

T_{0}

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T_{0},

the trains have covered different distances.

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Solution

The correct option is C Both the trains have the same velocity at some time before $T_{0}$ .
Initially, slope of $A$ is more than $B$ and finally slope of $A$ is less. So speed of $A$ is initially more than finally less than $B$ . So somewhere in between their speeds become the same.

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The plot shows the position (x) as a function of time (t) for two trains that run on a parallel track. Train A is next to train B at t=0 and at t=T0.

The correct option is C Both the trains have the same velocity at some time before T0.Initially, slope of A is more than B and finally slope of A is less. So speed of A is initially more than finally less than B. So somewhere in between their speeds become the same.

The plot shows the position $(x)$ as a function of time $(t)$ for two trains that run on a parallel track. Train $A$ is next to train $B$ at $t = 0$ and at $t = T_{0}$ .

The correct option is C Both the trains have the same velocity at some time before $T_{0}$ .
Initially, slope of $A$ is more than $B$ and finally slope of $A$ is less. So speed of $A$ is initially more than finally less than $B$ . So somewhere in between their speeds become the same.