Answer:
0.25s
Step-by-step explanation:
As v = 1.5 cos(4πt), v is maximum when cos(4πt) is maximum = 1. So the maximum velocity would be 1.5 m/s
Both the lowest and highest position occurs when its derivative is 0, aka v = 0 and has a change of direction
1.5 cos(4πt) = 0
cos(4πt) = 0
4πt = π/2 and 4πt = 3π/2
t = 1/8 = 0.125s and t = 3/8 = 0.375s
So the time it takes to travels from 1 point of time (0.125s) to another point of time (0.375) is