Q5). You are jogging eastward at an average speed of 2.0 m/s. Once you are 2.0 km from your home, you turn around and begin jogging westward, back towards your

home. At one point on your return trip, you look to the north and see a friend. You run northward at a greater speed of 3.0 m/s to catch your friend.After jogging next to each other for a time (at 3.0 m/s), you turn around (southward) and return at 3.0 m/s to your original path, and resume jogging at 2.0 m/s westward back home. See Figure 3.0 below. If you return home 44 minutes after you left, how far north did you run while catching up to your friend ?