The table below shows the speed of a moving vehicle with respect to time.
The acceleration- time relationship for a vehicle subjected to non- uniform acceleration is dvdt=(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, dvdt=(α−βv) Considering α=2m/s2,β=0.05s−1 and dvdt=1.3 m/s2 at t=3s, the distance (in m) travelled by the vehicle in 35 sec is