You are walking up an icy slope. suddenly your feet slip, and you start to slide backward. will you slide at a constant speed, or will you accelerate?

Will accelerate with g.sinθ, where θ is the angle between the ground and the inclination of the slope.

Explanation:

When any mass is sliding down the inclined plane will be affected by the acceleration due to gravity and some component of this acceleration will act on the body.

Let θ be the angle of inclination of the inclined slope from the horizontal.

then from the attached figure we can clearly get the component of acceleration along the slope.

the force on the thing and the distance the force moves the thing