Final answer:
The acceleration of a skier heading down a slope can be calculated using the formula, and the angle of the slope down which the skier could coast at a constant velocity can be found by setting the acceleration equal to zero.
Step-by-step explanation:
The acceleration of a skier heading down a 10.0° slope can be calculated using the formula:
The acceleration of a skier heading down a slope can be calculated using the formula, and the angle of the slope down which the skier could coast at a constant velocity can be found by setting the acceleration equal to zero.
a = g * sin(theta) - mu * g * cos(theta)
where 'a' is the acceleration, 'g' is the acceleration due to gravity, 'theta' is the angle of the slope, and 'mu' is the coefficient of friction.
To find the angle of the slope down which the skier could coast at a constant velocity, you can set the acceleration equal to zero in the above equation and solve for 'theta'.