The acceleration-time relationship for a vehicle subjected to non-uniform acceleration iswherevis the speed in m/s,tis the time in s, andalpha; and andbeta; are parameters, andv0is 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,Considering at t = 3 s, the distance (in m) traveled by the vehicle in 35 s is ___.Correct answer is between '895,905'. Can you explain this answer?

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

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,

Considering

at t = 3 s, the distance (in m) traveled by the vehicle in 35 s is ___.

Correct answer is between '895,905'. Can you explain this answer?

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The acceleration-time relationship for a vehicle subjected to non-unif...

∴ In (2 – 0.05 × v) = (t – 8.247) – (– 0.05)

⇒ 2 – 0.05 × v = 1.51 e^-0.05t

∴ at t = 0, s = 0 ⇒ c’ = – 604.15

Hence, s = 40t + 604.15 e^-0.05t – 604.15

at t = 35 sec

s = 40 × 35 + 604.15 e^{-0.05 × 35} – 604.15

s = 900.84 m

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The acceleration-time relationship for a vehicle subjected to non-uniform acceleration iswherevis the speed in m/s,tis the time in s, α and β are parameters, andv0is 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,Considering at t = 3 s, the distance (in m) traveled by the vehicle in 35 s is ___.Correct answer is between '895,905'. Can you explain this answer?

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