Question
a small block slides down a smooth inclined plane , starting from rest at time t = 0 .let Sn be the distance travelled by the block in time interval t = n - 1 to t = n. then the ratio Sn / Sn + 1 is ??
Joshi sir comment
distance travelled in n seconds = 1/2 an2 (a is the acceleration in the direction of incline)
distance travelled in n-1 second = 1/2 a(n-1)2
distance travelled in n+1 second = 1/2 a(n+1)2
so according to given condition Sn / Sn+1 = [1/2 an2 - 1/2 an2] / [1/2 a(n+1)2 - 1/2 an2]
now solve