Distance travelled in T^{th} seconds = Distance travelled in T seconds- Distance travelled

in (T- 1) seconds = S_{T}– Se _{(T}–_{1)}

Let S0 =0

(1.7) St = v0 t +1/2 at^{2}

ST =V0 T +1/2 At^{2}

S _{(T-1)} = V0 (T-1) +1/2 a (T-1)^{2}

ST –S _{(T-1)}

_{=}[v_{0} T+ 1/2 a (T)^{2}] – [ v_{0}(T-1) + 1/2 a (T-1)^{2}]

_{=}v_{0} T+ 1/2 a T^{2} – v_{0}T-1 + 1/2 At -1/2 a

= v_{0} + 1/2 a (2T -1 )

S _{Tth} = v_{0} +1/2 a (2T -1)