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.

initial speed when it is dropped is 150 ft/s

now at the same moment the acceleration due to gravity is perpendicular to its velocity

so as we know that

now we have centripetal acceleration a = 32 ft/s^2 as its perpendicular to velocity

while tangential acceleration at the same moment will be zero

so

now radius of curvature is given as

so the radius of curvature just after it is dropped is 703.125 ft