---
title: "A car is driving to the right at \\( 20 \\) \\( \\text{m/s} \\). A motorcycle starts \\( 30 \\) \\( \\text{m} \\) behind the car and is moving at \\( 30 \\) \\( \\text{m/s} \\) in the same direction."
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url: "https://nerd-notes.com/ubq/98437/"
date_modified: "2025-09-30T05:22:17+00:00"
---

# A car is driving to the right at \( 20 \) \( \text{m/s} \). A motorcycle starts \( 30 \) \( \text{m} \) behind the car and is moving at \( 30 \) \( \text{m/s} \) in the same direction.

A car is driving to the right at \( 20 \) \( \text{m/s} \). A motorcycle starts \( 30 \) \( \text{m} \) behind the car and is moving at \( 30 \) \( \text{m/s} \) in the same direction.

**Part a)** Will the motorcycle catch up to the car? *(3 points)*

**Part b)** If so, how long does it take and how far from the car’s starting point does it happen? *(3 points)*

**Part c)** Suppose the car begins accelerating at \( 1 \) \( \text{m/s}^2 \) exactly \( 2 \) \( \text{s} \) after both vehicles start moving. Can the motorcycle still catch up? Explain. *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/98437/*