---
title: "At \\( t = 0 \\), Car A is at \\( x = 0 \\), moving right at \\( 4.0 \\) \\( \\text{m/s} \\), and accelerating at \\( 2.0 \\) \\( \\text{m/s}^2 \\). Car B is \\( 30 \\) \\( \\text{m} \\) ahead and moving right at a constant \\( 10 \\) \\( \\text{m/s} \\).  When is the separation between the cars greatest, and what is that maximum separation?"
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url: "https://nerd-notes.com/ubq/114265/"
date_modified: "2026-08-18T02:37:42+00:00"
---

# At \( t = 0 \), Car A is at \( x = 0 \), moving right at \( 4.0 \) \( \text{m/s} \), and accelerating at \( 2.0 \) \( \text{m/s}^2 \). Car B is \( 30 \) \( \text{m} \) ahead and moving right at a constant \( 10 \) \( \text{m/s} \).

When is the separation between the cars greatest, and what is that maximum separation?

At \( t = 0 \), Car A is at \( x = 0 \), moving right at \( 4.0 \) \( \text{m/s} \), and accelerating at \( 2.0 \) \( \text{m/s}^2 \). Car B is \( 30 \) \( \text{m} \) ahead and moving right at a constant \( 10 \) \( \text{m/s} \).

When is the separation between the cars greatest, and what is that maximum separation?

- **A.** \( t = 2.0 \) \( \text{s} \); \( 36 \) \( \text{m} \)
- **B.** \( t = 3.0 \) \( \text{s} \); \( 39 \) \( \text{m} \)
- **C.** \( t = 4.0 \) \( \text{s} \); \( 38 \) \( \text{m} \)
- **D.** \( t = 6.0 \) \( \text{s} \); \( 30 \) \( \text{m} \)

*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/114265/*