A body begins slipping down an incline, travelling half a meter in half a second. How much time will it require to move the subsequent half meter?

Step-by-step solution

Since the body starts from rest, the distance covered is given by s = 1 2 at^2 , which implies t s . Let t₁ be the time taken to cover the first distance s₁ = 0.5 m, and t₂ be the total time taken to cover the total distance s₂ = 0.5 + 0.5 = 1 m. t₂ t₁ = s₂ s₁ t₂ 0.5 = 1 0.5 = 2 t₂ = 0.5 2 0.5 1.414 = 0.707 s The time required to move the subsequent half meter is: t = t₂ - t₁ = 0.707 - 0.5 = 0.207 s Rounding off to two decimal places, we get 0.21 s.