State whether the following statement is true or false:

The accuracy of relation where v and u are the final and initial velocities, a is the acceleration, and s is the distance.

Question

State whether the following statement is true or false:The accuracy of relation where v and u are the final and initial velocities, a is the acceleration, and s is the distance.

Accepted Answer

The given statement is true.Concept: So the given relation isHere v = final velocity and the unit of velocity in m/s.As we know that the dimension of meter is L and the dimension of second is T, so the dimension of final velocity isSo the dimension of   Now u = initial velocity whose unit is same as final velocity as both are velocitiesSo the velocity of u is   So the dimension of  Now take L.H.S of the given equation⇒ -=-Now as we see that the dimension of  and  are same so the dimension of(- ) is also same as dimension is independent of addition or subtractionTherefore the dimension of(- )  is So, L.H.S dimension =Now consider the R.H.S of the given equation⇒2asHere a = acceleration.And the unit of acceleration is m/s2s2.As we know that the dimension of meter is LL and the dimension of second is TT, so the dimension of final acceleration isNow s = distance and distance is measured in meter or centimeter.And the dimension of meter or centimeter is same = LSo the dimension of s = LSo the dimension of as = Now as we know that the dimension is independent of scaling so the dimension of 2as is  .So R.H.S dimension = So as we see that the L.H.S dimension = R.H.S dimension = Hence, the given statement is true. Type: CBSE

State whether the following statement is true or false:

The accuracy of relation where v and u are the final and initial velocities, a is the acceleration, and s is the distance.

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