Answer:
-11.29 m
Step-by-step explanation:
The length of the incline can be calculated using the following formula:
L = (Vf^2 - Vi^2) / (2 * a)
where:
L = length of incline
Vf = final speed (15 m/s)
Vi = initial speed (2 m/s)
a = acceleration due to gravity (9.8 m/s^2 on the surface of the Earth)
Since the skier is going downhill, the acceleration is negative.
Substituting the given values into the formula:
L = (15^2 - 2^2) / (2 * -9.8)
L = (225 - 4) / -19.6
L = 221 / -19.6
L = -11.29 m
So the length of the incline is approximately -11.29 meters. This negative value indicates that the skier's final position is lower than the starting position.