A `2 kg` object is sliding along the frictionless floor with initial velocity `(10 m//s) hat i` (a) Describe the motion of the object relation to car (b) when does the object reach its original position relative to the box car.

Explanation

To solve the problem step by step, we will analyze the motion of the object relative to the boxcar and determine when it returns to its original position.

### Step 1: Understand the System
We have a 2 kg object sliding on a frictionless floor with an initial velocity of \(10 \, \text{m/s} \hat{i}\). The boxcar is considered a non-inertial frame of reference.

### Step 2: Set Up the Motion Equation
In a non-inertial frame (the boxcar), we can describe the motion of the object using the equation:
\[
...