A motorist travels 1600 m at 80 m/s and 750 m at 100 m/s. What is the average speed of the motorist for this trip.
To find the average speed of the motorist for the entire trip, we need to calculate the total distance traveled and the total time taken.
First, let's find the total distance traveled:
Distance traveled in the first segment = 1600 m
Distance traveled in the second segment = 750 m
Total distance traveled = Distance in the first segment + Distance in the second segment = 1600 m + 750 m = 2350 m
Next, let's find the total time taken:
Time taken in the first segment = Distance / Speed = 1600 m / 80 m/s = 20 s
Time taken in the second segment = Distance / Speed = 750 m / 100 m/s = 7.5 s
Total time taken = Time taken in the first segment + Time taken in the second segment = 20 s + 7.5 s = 27.5 s
Finally, we can calculate the average speed using the formula:
Average Speed = Total Distance Traveled / Total Time Taken = 2350 m / 27.5 s = 85.45 m/s
Therefore, the average speed of the motorist for this trip is approximately 85.45 m/s.