Question

Speeds of two identical cars are u and 4u at a specific instant. The ratio of the respective distances in which the two cars are stopped from that instant is

(1) 1 : 1 

(2) 1 : 4 

(3) 1 : 8 

(4) 1 : 16

Answer 1

Answer is (4) 1 : 16

ν² = u² - 2aS = 0

or S = u²/2a ∝ u².

S₁/S₂ = (u₁/u₂)² = (u/4u)² = (1/16)