3. A pilot needs to fly directly north 315 km from Pittsburgh, PA to Hamilton, ON. The plane can fly at 425 km/hr in still air, but the wind is blowing at 35.0 km/hr from the west. (a) If the pilot doesn't account for the wind, what is his actual velocity with respect to the ground? (magnitude and direction) (b) Where does the pilot end up? (Go look at a map if your geography is rusty.) (c) Which direction should the pilot head, in order to actually fly north? (magnitude and direction) (d) How long will it take to reach Hamilton