Find the distance covered by a particle from time t = 0 to t = 6 sec, when the particle follows the movement according to y = a cos(π4)t,

Comparing with y = a cos ωtω = π4 = 2πT will give T = 8 secondsy = a at t = 0So, particle is at extreme position at t= 0. Its time period is 8 seconds.So, in time t = 0 to t = 6 seconds, it will be at the mean position. So, distance covered = 3a..