Chapter 4, Problem 51P

A skilled skier knows to jump upward before reaching a downward slope. Consider a jump in which the launch speed is v₀ = 10 m/s, the launch angle is θ₀ = 113°, the initial course is approximately flat, and the steeper track has a slope of 9.0°. Figure 4-42a shows a prejump that allows the skier to land on the top portion of the steeper track. Figure 4-42b shows a jump at the edge of the steeper track. In Fig. 4-42a, the skier lands at approximately the launch level. (a) In the landing, what is the angle ϕ between the skier’s path and the slope? In Fig. 4-42b, (b) how far below the launch level does the skier land and (c) what is ϕ (The greater fall and greater ϕ can result in loss of control in the landing.)

Figure 4-42 Problem 51.