Consider a herd of lemmings running up a hill towards a cliff. Suppose the hillside they are running on is at a 30° incline, the lemmings’ speed is 5 km/h, and that a 1 km/h wind is blowing horizontally towards the cliff. Consider the lead lemming, shown below. Draw the vector representing this lemming’s travel up the hill; draw the vertical and horizontal component vectors as well. Label the direction and magnitude of all three vectors on your sketch. Show all calculations.

Consider what happens at the moment the lemming runs off the edge of the cliff. Sketch the lemming’s run vector and the wind vector. If we combine these vectors, what are the magnitude and direction of the resultant vector? (you can ignore gravity and any other complicating factors here)

Consider what happens 10 seconds after the lemming has run off the cliff. Sketch the lemming’s run vector, the wind vector, and the 98 m/s (5.88 km/h) downward velocity due to gravity (recall, acceleration due to gravity is 9.8 m/s per second). If we combine these vectors, what are the magnitude and direction of the resultant vector? (you can ignore reality and any other complicating factors here).