The car was initially travelling at 80 km/h. It then accelerates at 12km/h^2 for 22 seconds.
22 seconds is equal to 22/3600 hours. Therefore the speed of the car after the period of acceleration is 80 + (22/3600)*12. The distance travelled during the period of acceleration is given by d = (u + v)*(t/2) where u is the initial velocity, v is the final velocity and t is the time during which the acceleration takes place.
Substituting the values provided in the question we get
d = [80 + 80 + (22/3600)*12]* (22/7200)
=> 0.489112 km
=> 489.11 m
Therefore the required distance traveled is equal to 489.11 m
http://www.enotes.com/topic/Uniform_acceleration
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