Understanding the Problem

* Initial velocity (u): 0 m/s (since the object starts at rest)

* Acceleration (a): 2.90 m/s²

* Distance (s): 15.2 m

* Time (t): We need to find this.

Equation of Motion

We can use the following equation of motion:

* s = ut + (1/2)at²

Where:

* s = distance

* u = initial velocity

* a = acceleration

* t = time

Solving for Time (t)

1. Plug in the values:

15.2 m = (0 m/s) * t + (1/2) * (2.90 m/s²) * t²

2. Simplify:

15.2 m = 1.45 m/s² * t²

3. Solve for t²:

t² = 15.2 m / 1.45 m/s²

t² ≈ 10.48 s²

4. Take the square root to find t:

t ≈ √10.48 s²

t ≈ 3.24 s

Answer: It takes approximately 3.24 seconds for the object to move 15.2 meters.