Question

find distance travelled by the uniformly accelerated object moving in one dimension in nth second​

Answer 1

=> please mark me if you are satisfied with my answer...

Answer 2

-->The DISTANCE TRAVELLED BY A UNIFORMLY ACCELERATED OBJECT MOVING IN ONE DIMENSION IN nth SECOND IS

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

-->To Find The DISTANCE TRAVELLED BY A UNIFORMLY ACCELERATED OBJECT MOVING IN ONE DIMENSION IN nth SECOND

-->We must first find out the DISTANCE TRAVELLED BY THE OBJECT IN n SECONDS.

-->We know that, s(t) = ut +1/2at²----(i)

-->Substitute t=n in (i),

-->s(n) = un +1/2an² ----(ii)

-->Now, We must find the DISTANCE TRAVELLED BY THE OBJECT IN (n-1) SECONDS

-->Substitute t=(n-1) in (i),

-->s(n-1) = u(n-1) + 1/2a(n-1)² ----(iii)

-->Now, By subtracting (iii) from (ii) we will get the DISTANCE TRAVELLED BY THE OBJECT IN nth SECOND.

-->s(nth)= u + a(2n-1)/2