If a particle moves along a straight line with a constant acceleration, then the distance travelled by the particle in the nth second         

Given that a particle is moving along a straight line with constant acceleration. Then distance travelled by it in the ${\text{n}}^{\text{th}}$ second

${\text{s}}_{\text{n}}=\text{u}+a\left(\text{n}-\frac{1}{2}\right)$

We can have following as true

i) ${\text{s}}_{\text{n}}$  Depends on u

ii) ${\text{s}}_{\text{n}}$  Depends on a

iii) ${\text{s}}_{\text{n}}$  Depends on niv) ${\text{s}}_{\text{n}}={\text{v}}_{\text{0}}+\frac{a}{2}\left(2\text{n}-1\right)\text{here}\text{u}={\text{v}}_{\text{0}}$