A car travels in a straight line at a speed v along a horizontal road. The car moves against a resistive force F given by the equation: F = 400 + k(v)^2 where F is in Newtons, v in ms^-1 and k is a constant. At speed v = 15ms^-1, the resistive force F is 1100N.
Determine the energy expended in travelling 1.2km at a constant speed of:
i 15ms^-1
ii 30ms^-1
using your answers above, suggest why, during a fuel shortage, the maximum permitted speed of cars may be reduced
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