1. Understand the Problem

* We have a block sliding down an inclined plane.

* We know the initial velocity (rest), the distance traveled, and the time.

* We need to find the acceleration of the block.

2. Choose the Right Equations

Since we know the distance, time, and initial velocity, we can use the following constant acceleration equation:

* d = v₀t + (1/2)at²

where:

* d = distance (2 m)

* v₀ = initial velocity (0 m/s)

* t = time (1.50 s)

* a = acceleration (what we want to find)

3. Solve for Acceleration

* Plug the known values into the equation:

2 m = (0 m/s)(1.50 s) + (1/2)a(1.50 s)²

* Simplify:

2 m = (1/2)a(2.25 s²)

* Solve for 'a':

a = (2 m) / (1.125 s²) = 1.78 m/s²

Therefore, the acceleration of the block is 1.78 m/s².