Determine whether or not each of the following discrete-time signals is periodic. if the signal is periodic, determine its fundamental period. (a) x[n]=sin(8π/2 n+1), (b) x[n]=cos(r/8-π), (c) x[n]=cos(π/8 n²), (d) x[n]=cos(π/2 n) cos(π/4 n), (e) x[n]=2cos(π/4 n)+sin(π/8 n)-2cos(π/2 n+π/6)

the minimum constant speed at which she can catch the train is 2.7 m/s

given:

acceleration = 0.6

time = 4.5 s

to find:

velocity = ?

formula used:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

solution:

from 1st kinematic equation we get,

v = u + at

u = initial speed of train = 0 m/s

v = final speed of the train

a = acceleration of the train

t = time

v = 0 + (0.6 × 4.5)

v = 2.7 m/s

the minimum constant speed at which she can catch the train is 2.7 m/s