Final answer:
To calculate the acceleration of a skier heading down a 10.8° slope, use the formula acceleration = g * sin(θ) - μk * g * cos(θ), where g is the acceleration due to gravity, θ is the angle of the slope, and μk is the coefficient of kinetic friction.
Step-by-step explanation:
To calculate the acceleration of a skier heading down a 10.8° slope, we can use the equation:
acceleration = g * sin(θ) - μk * g * cos(θ)
Where g is the acceleration due to gravity (9.8 m/s^2), θ is the angle of the slope (10.8°), and μk is the coefficient of kinetic friction.
Let's say the coefficient of friction for waxed wood on wet snow is 0.2. Plugging in these values, we get:
acceleration = 9.8 * sin(10.8°) - 0.2 * 9.8 * cos(10.8°)
After evaluating this expression, we find that the acceleration of the skier heading down the slope is approximately 0.67 m/s^2.