Question

prove Snth = u + a/2 (2n-1)​

Answer 1

Here, S=u+(1/2)*a*(2n-1) this equation is used to find distance travelled by body in nth second.

LHS

So, S(nth) = distance travelled in nth second

i.e S(nth) = [L]/[T] = [LT^-1] dimensionally

RHS

Now, U+(1/2)*a*(2n-1) = where,

U= initial velocity = [LT^-1]

a= acceleration = [LT^-2]

2n-1= n=time = [T]

1/2=dimensionless = [M°L°T°]

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