To make a prediction based on the information given, we can analyze the situation. Mr. Starr pushes the cart full of groceries to his car and then pushes it back to the store. Since he travels at a speed of 2 meters per second both ways, we can consider the total time taken for the round trip.
If we denote the one-way distance from the store to the car as \(d\), then the total distance for the round trip is \(2d\).
The time taken to push the cart to the car can be calculated as: \[ \text{Time to car} = \frac{d}{2 \text{ m/s}} \]
The time taken to push the cart back to the store is the same: \[ \text{Time back} = \frac{d}{2 \text{ m/s}} \]
So the total time for the round trip is: \[ \text{Total time} = \frac{d}{2} + \frac{d}{2} = \frac{2d}{2} = d \text{ seconds} \]
From this analysis, we can predict that the total time he spends pushing the cart back and forth is directly proportional to the distance \(d\) between the store and the car.
If you provide specific distances or additional details, I can give you a more precise prediction about the time or any other parameters!