A ▶2/56 The preliminary design for a rapid-transit sys- tem calls for the train velocity to vary with time as shown in the plot as the train runs the 3.2 km between stations A and B. The slopes of the cubic transition curves (which are of form a + bt + ct² + dt³) are zero at the end points. Determine the total run time t between the stations and the maximum acceleration. B
A ▶2/56 The preliminary design for a rapid-transit sys- tem calls for the train velocity to vary with time as shown in the plot as the train runs the 3.2 km between stations A and B. The slopes of the cubic transition curves (which are of form a + bt + ct² + dt³) are zero at the end points. Determine the total run time t between the stations and the maximum acceleration. B
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Transcribed Image Text:▶2/56 The preliminary design for a rapid-transit sys-
tem calls for the train velocity to vary with time
as shown in the plot as the train runs the 3.2 km
between stations A and B. The slopes of the cubic
transition curves (which are of form a + bt + ct² + dt³)
are zero at the end points. Determine the total
run time t between the stations and the maximum
acceleration.
A
3.2 km
U,
km/h
Cubic functions
130
15
At
15
B
B
.
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