Question

A particle moves along the x-axis according to x = A[1 + sin ωt]. What distance does is travel in time interval from t = 0 to t = 2.5 pi/ω ?

(a) 4 A

(b) 6 A

(c) 5 A

(d) 3 A

Answer 1

Correct option (c) 5 A

Explanation :

In one time period distance travelled d₁ = 4 A. In one time period distance travelled d₂ = 4 A. In the remaining time T/4, distance travelled d₂ = A

Total distance travelled  = 5 A