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Distance Travelled in the Second (in Constant Acceleration)

Distance travelled in Tth seconds = Distance travelled in T seconds- Distance travelled

in (T- 1) seconds = ST- Se (T-1)

Let                               S0 =0

(1.7)                            St = v0 t +1/2 at2

ST =V0 T +1/2 At2

S (T-1) = V0 (T-1) +1/2 a (T-1)2

ST –S (T-1)

=[v0 T+ 1/2 a (T)2] – [ v0(T-1) + 1/2 a (T-1)2]

=v0 T+ 1/2 a T2 –  v0T-1 + 1/2 At -1/2 a

= v0 + 1/2 a (2T -1 )

S Tth = v0 +1/2 a (2T -1)