A block is at rest on a frictionless ramp that is elevated 22.0 degrees above the horizontal. a)Determine the acceleration of the block as it slides down the ramp.

3.67 m/s²

Explanation:

Draw a free body diagram.  There are two forces on the object:

Weight force mg pulling straight down,

and normal force N pushing perpendicular to the plane.

Sum the forces in the parallel direction.

∑F = ma

mg sin θ = ma

a = g sin θ

a = (9.8 m/s²) (sin 22.0°)

a = 3.67 m/s²

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a straight line sloped