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Instantaneous Velocity

The graph sho...

Question

The graph shows position as a function of time for two trains A and B running on parallel tracks. For times greater than $t = 0$ , which of the following statement is true?

At time

t_{B}

, both trains have the same velocity

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Both trains speed up all the time

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Both trains may have the same velocity at some time earlier than

t_{B}

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Graph indicates that both trains have the same acceleration at a given time

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Solution

The correct option is C Both trains may have the same velocity at some time earlier than $t_{B}$
As evident from the graph, slope of tangent PQ and slope of OA are equal. Hence B and A may have same velocity at some time $t_{1}$ earlier than $t_{B}$ . (Option C).

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The graph shows position as a function of time for two trains A and B running on parallel tracks. For times greater than t = 0, which of the following statement is true?

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The graph shows position as a function of time for two trains A and B running on parallel tracks. For times greater than t=0, which of the following statement is true?

The correct option is C Both trains may have the same velocity at some time earlier than tBAs evident from the graph, slope of tangent PQ and slope of OA are equal. Hence B and A may have same velocity at some time t1 earlier than tB. (Option C).

The graph shows position as a function of time for two trains A and B running on parallel tracks. For times greater than $t = 0$ , which of the following statement is true?

The correct option is C Both trains may have the same velocity at some time earlier than $t_{B}$
As evident from the graph, slope of tangent PQ and slope of OA are equal. Hence B and A may have same velocity at some time $t_{1}$ earlier than $t_{B}$ . (Option C).