Question

the distance covered by nth second using calculus method​

Answer 1

distance travelled in n seconds:

S1= un + 1/2a(n^2)

distance travelled in (n-1) seconds:

S2 = u(n-1) + 1/2a((n-1)^2)

distance travelled in nth second:

S1-S2

= u + 1/2a(2n-1)