At full power, how long would it take for the car to accelerate from 0 to 58.0 mph? neglect friction and air resistance.

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