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

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