Final answer:
The average speed for the second half of the track was approximately 308.88 km/h, calculated using the total distance for half of the track and the time taken based on the given average speeds for both halves and the entire lap.
Step-by-step explanation:
To determine the average speed on the second half of the track, we need to use the formula for average speed which is total distance divided by total time. We know that the race car completes the entire 1600 m track at an average speed of 250 km/h and the first half at 210 km/h. First, we need to calculate the time taken for each half of the track.
For the first half (800 m or 0.8 km), the speed is 210 km/h:
Time = Distance / Speed
Time1st half = 0.8 km / 210 km/h = 0.00381 hours.
Now, we need to find the total time taken for the entire lap:
Timetotal = Distancetotal / Speedaverage
Timetotal = 1.6 km / 250 km/h = 0.0064 hours.
The time taken for the second half is the total time minus the time taken for the first half:
Time2nd half = Timetotal - Time1st half = 0.0064 - 0.00381 hours = 0.00259 hours.
Finally, we can calculate the average speed for the second half of the lap:
Speed2nd half = Distance2nd half / Time2nd half
Speed2nd half = 0.8 km / 0.00259 hours = 308.88 km/h (approximately).
The average speed for the second half of the track was approximately 308.88 km/h.