Final answer:
The magnitude of the average velocity for the entire trip is approximately 7.07 km/hr, calculated by dividing the total distance of 4.875 km by the total time of 0.69 hours.
Step-by-step explanation:
To find the magnitude of your average velocity for the entire trip, we first need to calculate the total distance covered and the total time taken. Velocity is defined as the displacement per unit time, which in this case is straightforward because the student travels in a single direction without reversing.
The first part of the trip involves jogging at a constant speed of 9.10 km/hr for a distance of 4.00 km.
Time taken to jog = Distance/Speed = 4.00 km / 9.10 km/hr = 0.44 hours (approximately)
The second part involves walking at a constant speed of 3.50 km/hr for 0.250 hours.
Distance walked = Speed × Time = 3.50 km/hr × 0.250 hours = 0.875 km
Total distance traveled = 4.00 km + 0.875 km = 4.875 km
Total time taken = 0.44 hours + 0.250 hours = 0.69 hours (approximately)
Therefore, the average velocity is calculated by dividing the total distance by the total time.
Average Velocity = Total Distance / Total Time = 4.875 km / 0.69 hours ≈ 7.07 km/hr (approximately)