A car is traveling along a straight road at a velocity of +27.7 m/s when its engine cuts out. For the next 1.94 seconds, the car slows down, and its average acceleration is . For the next 4.92 seconds, the car slows down further, and its average acceleration is . The velocity of the car at the end of the 6.86-second period is +20.3 m/s. The ratio of the average acceleration values is = 1.35. Find the velocity of the car at the end of the initial 1.94-second interval.

Question

A car is traveling along a straight road at a velocity of +27.7 m/s when its engine cuts out. For the next 1.94 seconds, the car slows down, and its average acceleration is . For the next 4.92 seconds, the car slows down further, and its average acceleration is . The velocity of the car at the end of the 6.86-second period is +20.3 m/s. The ratio of the average acceleration values is  = 1.35. Find the velocity of the car at the end of the initial 1.94-second interval.