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Speed Time Graph

Choose incorr...

Question

Choose incorrect option for the time interval $t = 0 t o t = 2 T_{0}$ .

Average velocities of particle A, B and C are zero

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Average velocities of particle A, B, C and D are zero

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Average accelerations of particle A and B are non zero

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Average speeds of particle A, B and C are non zero

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Solution

The correct option is C Average velocities of particle A, B and C are zero
Area under the v-t graph gives the displacement of the particle during that period.
Total displacement of each particle A, B and C is zero but not in case of particle D i.e. $S_{D} \neq 0$ in time interval $2 t_{o}$
Hence average velocity of A, B and C $v_{a v g} = \frac{S}{2 t_{o}} = 0$
And average velocity of particle D $v_{a v g} = \frac{S_{D}}{2 t_{o}} \neq 0$
Thus option A is correct.

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Choose incorrect option for the time interval t=0tot=2T0.

Choose incorrect option for the time interval $t = 0 t o t = 2 T_{0}$ .