# Determine the maximum speed reached by the automobile after travelling 400 m distance.

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An automobile of mass 1225 kg starts from rest, and travels a distance of 400 m. The co-efficient of static friction between tyre and road is 0.70, and air resistance is equivalent to D = 0.575 v2, where D is in Newton and v is velocity in m/s. The automobile has front wheel drive and front wheel supports 62% of the total weight of vehicle. Determine the maximum speed reached by the automobile after travelling 400 m distance.

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$\therefore$ Max speed reached by the automobile after travelling 400 m is 31.258 m/s