4: Time: 45 minutes On the frozen nitrogen seas of the ice-planet Broto (where the median temperature is 58 keivin, or 205 C): adventuresport enthusiasts pilot wind-powered sleds through the planet's atmosphere of pure helium gas. On particularly balmy days. a thin sheen of liquid nitrogen forms atop the ice, rendering the surface perfectly frictionless. a) A 250-kg sled is gliding due north with a steady speed of 72 mls (260 kph), when a sudden gust of wind exerts a time dependent force with northward and eastward components given in the graphs at right. What is the magnitude and direction (relative to due north) of the impulse delivered to the sled by the wind? ' ' . b) What is the sled's nal velocity (magnitude and direction relative to due north), after the gust has passed