Chapter 12.6, Problem 69ES

At time $t=0$ a skier leaves the end of a ski jump with a speed of ${\upsilon }_0\text{ft}/\text{s}$ at an angle $\alpha$ with the horizontal (see the accompanying figure). The skier lands 259 ft down the incline 2.9 s later.

(a) Approximate ${\upsilon }_0$ to the nearest $\text{f}t/\text{s}$ and $\alpha$ to the nearest degree. [Note: $\text{Use}\text{g}=32\text{ft}/{\text{s}}^{\text{2}}$ as the acceleration due to gravity.]

(b) Use a CAS or a calculating utility with a numerical integration capability to approximate the distance traveled by the skier.