# Question #32e56

##### 1 Answer

A particle having initial velocity *u* , moving with uniform acceleration *a* covers a distance **t th sec.**

Let us recall the deduction of the relation among these quantities considering the average velocity of the particle for time

Velocity of the particle after (t-1) sec

Velocity of the particle after t sec

Average velocity for

So

Apparently the equation appears false according to dimension method. Since its LHS has dimension

Here

If it is multiplied by dimension of time