Civil Engineering > GATE 2015 SET-1 > Traffic Engineering
The acceleration-time relationship for a vehicle subjected to non-uniform acceleration is,
dv/dt = (α - βv0)e-βt
where, v is the speed in m/s, t is the time in s, α and β are parameters, and v0 is the initial speed in m/s. If the accelerating behavior of a vehicle, whose driver intends to overtake a slow moving vehicle ahead, is described as,
dv/dt = (α - βv)
Considering α = 2 m/s2, β = 0.05 s-1, and dv/dt = 1.3 m/s2 at t = 3 s, the distance (in m) travelled by the vehicle in 35 s is _______.
dv/dt = (α - βv0)e-βt
where, v is the speed in m/s, t is the time in s, α and β are parameters, and v0 is the initial speed in m/s. If the accelerating behavior of a vehicle, whose driver intends to overtake a slow moving vehicle ahead, is described as,
dv/dt = (α - βv)
Considering α = 2 m/s2, β = 0.05 s-1, and dv/dt = 1.3 m/s2 at t = 3 s, the distance (in m) travelled by the vehicle in 35 s is _______.
Correct : 900
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