Q.46. The graph shows position as a function of time for two trains A and B running on parallel tracks.
For time t > 0, which of the following statements is true ?
(A) At time both trains have the same velocity.
(B) Both trains speed up all the time.
(C) Both trains may have the same velocity at some time earlier than .
(D) Graph indicates that both trains have the same acceleration at a given time.
Dear Student
Correct option is c.
Option a is wrong because at time B, the displacements are identical, but the slopes are not, so the velocities are different.
The slope of A has a constant value, while the slope of B is greater at the initial point and less at tB. So A is not speeding hence option B is wrong.
The slope of B must change continuously from the first value to the latter, so at some intermediate time, it must equal the slope of B. So correct option is c.
As A has constant slope so acceleration is zero for it hence option d is also wrong.
Regards
Correct option is c.
Option a is wrong because at time B, the displacements are identical, but the slopes are not, so the velocities are different.
The slope of A has a constant value, while the slope of B is greater at the initial point and less at tB. So A is not speeding hence option B is wrong.
The slope of B must change continuously from the first value to the latter, so at some intermediate time, it must equal the slope of B. So correct option is c.
As A has constant slope so acceleration is zero for it hence option d is also wrong.
Regards