The speed of the car is 55.2 m/s.
We can define speed as the ratio of distance to time. We know that the question states the car is one lap behind the lead race car when the lead car has 52 laps to go in a race.
If 1 lap = 1.34km or 1340 m
Distance covered = 1340 m * 52 = 69680 m
Time = 69680 m/ 56.3 m/s
= 1237.7 s
Given that the second car is one lap behind;
51 * 1340 m = 68340 m
Speed = 68340 m/1237.7 s
= 55.2 m/s
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