---
title: "At time \\( t = 0 \\), a cart is at \\( x = 10 \\, \\text{m} \\) and has a velocity of \\( 3 \\, \\text{m/s} \\) in the \\( -x \\) direction. The cart has a constant acceleration in the \\( +x \\) direction with magnitude \\( 3 \\, \\text{m/s}^2 < a < 6 \\, \\text{m/s}^2 \\). Which of the following gives the possible range of the position of the cart at \\( t = 1 \\, \\text{s} \\)?"
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url: "https://nerd-notes.com/ubq/19116/"
date_modified: "2024-09-25T03:44:05+00:00"
---

# At time \( t = 0 \), a cart is at \( x = 10 \, \text{m} \) and has a velocity of \( 3 \, \text{m/s} \) in the \( -x \) direction. The cart has a constant acceleration in the \( +x \) direction with magnitude \( 3 \, \text{m/s}^2 < a < 6 \, \text{m/s}^2 \). Which of the following gives the possible range of the position of the cart at \( t = 1 \, \text{s} \)?

At time \( t = 0 \), a cart is at \( x = 10 \, \text{m} \) and has a velocity of \( 3 \, \text{m/s} \) in the \( -x \) direction. The cart has a constant acceleration in the \( +x \) direction with magnitude \( 3 \, \text{m/s}^2 < a < 6 \, \text{m/s}^2 \). Which of the following gives the possible range of the position of the cart at \( t = 1 \, \text{s} \)?

- **A.** \( 4 \, \text{m} < x < 5.5 \, \text{m} \)
- **B.** \( 8.5 \, \text{m} < x < 10 \, \text{m} \)
- **C.** \( 11.5 \, \text{m} < x < 13 \, \text{m} \)
- **D.** \( 14.5 \, \text{m} < x < 16 \, \text{m} \)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/19116/*