A sports car is accelerating up a hill that rises 17.0° above the horizontal. The coefficient of static friction between the wheels and the road is µs = 0.79. It is the static frictional force that propels the car forward.

(a) What is the magnitude of the maximum acceleration that the car can have?
 m/s2

(b) What is the magnitude of the maximum acceleration if the car is being driven down the hill?
 m/s2

1 answer

acc up:
mu g cosθ - g sinθ = a
acc down:
mu g cosθ + g sinθ = a