A body is moving from rest under constant acceleration and let S 1 be the displacement in the first P - 1 seconds and S 2 be the displacement in the first P seconds. The displacement in P 2 - P + 1 t h second will be

Step-by-step solution

From the equation of motion S = u t + 1 2 a t 2 S 1 = 0 + 1 2 a P - 1 2 And S 2 = 0 + 1 2 a P 2 From S n = u + a 2 2 n - 1 S P 2 - P + 1 t h = a 2 2 P 2 - P + 1 - 1 = a 2 2 P 2 - 2 P + 1 = S 1 + S 2