Final answer:
The average velocity of the car for the entire trip is 59.2 km/hr to the west, calculated by finding the total distance traveled (296.0 km) and dividing it by the total time taken (5.00 hours).
Step-by-step explanation:
To calculate the average velocity of the car for the entire trip, we need to find the total distance traveled and the total time taken. The car travels west for 3.00 hours at 52.0 km/hr and then continues west for 2.00 hours at 70.0 km/hr.
The distance covered in the first part of the trip is:
Distance = Speed × Time = 52.0 km/hr × 3.00 hr = 156.0 km
The distance covered in the second part of the trip is:
Distance = Speed × Time = 70.0 km/hr × 2.00 hr = 140.0 km
The total distance traveled is:
Total distance = 156.0 km + 140.0 km = 296.0 km
The total time taken is:
Total time = 3.00 hr + 2.00 hr = 5.00 hr
Therefore, the average velocity is calculated by dividing the total distance by the total time:
Average velocity = Total distance / Total time = 296.0 km / 5.00 hr = 59.2 km/hr
Since the car continued to travel west for the whole trip, the direction of the average velocity is also west.