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GATE Civil Engineering (CE) 2015 Shift 1 Solved Paper

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Question : 61

Total: 65

The acceleration-time relationship for a vehicle subjected to non-uniform acceleration is,
‌

=(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 behaviour of a vehicle, whose driver intends to overtake a slow moving vehicle ahead, is described as,
‌

=(α−βv)
Considering α = 2 m/sec², β = 0.05 s^-1 and ‌

=1.3‌m∕s2 at t = 3 s, the distance (in m) travelled by the vehicle in 35 s is ___. m

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