A point moves in the x - y plane according to x = A sin ω t and y = A 1 – cos ω t where A and ω are positive constants. The distance traversed by the point during the time τ is

Step-by-step solution

Distance travelled by point in time t is: S = ∫ 0 τ V → d t ∵ V → = V x 2 + V y 2 Where, V x = d x d t = A ω cos ⁡ ω t and V y = d y d t = A ω sin ⁡ ω t S = ∫ 0 τ A ω d t = A ω τ