In a car moving at constant acceleration, you travel 230 m between the instants at which the speedometer reads 40 km/h and 70 km/h how many seconds does it take you to travel the 230 m?

The relationship between the distance covered, initial and final speeds, and time can be expressed through the equation,

First equation,

2ad = Vf² - Vi²

Substituting the known values,

2 (a) (0.230 km) = (70 km/h) ² - (40 km/h) ²

The value of a from the equation is 7173.92 km/h².

Second equation,

d = (Vi) (t) + 0.5at²

Substituting the known values,

0.230 km = (40 km/h) (t) + (0.5) (7173.92 km/h²) (t²)

The value of t from the equation is 4.1818 x 10^-3 hours which is also equal to 0.2509 minutes or 15 seconds.

Answer: 15 seconds