first we calculate the time required for the first motioin with constant acceleration:
v = v0 + at
5.83 = 1.36 t
so t = 4.28676 s
the distance traveled in this time is:
d = at2/2 = (1.36)(4.28676)2/2 = 12.49589 m
the time for the second motion with constant velocity
D = vt
(153-12.49589) = 5.83 T
T = 24.100 s
so the total time is: 28.38676 s
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