The Time Required for a Skier, Initially at Rest, to Ski

Multiple Choice

The time required for a skier, initially at rest, to ski from point A to point B on an inclined plane (where B is not directly downhill from a. is given by: . In the equation above, a is the value of the parameter u at point A, b is the value of u at point B, and k is a constant. The expressions x(u) and y(u) represent parametrically the trajectory taken by the skier. The "straight downhill" direction is assumed to be in the direction of increasing values of y.
Find the time required to complete the trip if the skier chooses the following trajectory: .

A) 6.6855k
B) 2.5546k
C) 11.7447k
D) 7.8653k