A body moves on a frictionless plane starting from rest. If Sn is distance moved between t = n - 1 and t = n and Sn-1 is distance moved between t = n - 2 and t = n - 1, then the ratio Sn-1Sn is (1 - 2x ) for n = 10. The value of x is .
Answer
19
Solution
From rest with constant a: Sn = a2(2n - 1), Sn-1 = a2(2n - 3)
Sn-1Sn = 2n - 32n - 1 = 1719 for n = 10
1719 = 1 - 219 = 1 - 2x
x = 19
Answer: 19