For the given problem, we calculate the required time by using the formula P = W/t.
P = [(1/2)mv_f^2 – (1/2)mv_i^2]/ t
The car accelerates from 0 -58 mph, so the power engine will be
P = (1/2) x m x 58^2 / t = 1682 m / t
According to the problem, the engine produces full power so the time required can be calculated as
420.5 m / 1.40 = 1682 m / t
t = 5.6 seconds