---
title: "At \\( t = 0 \\), a car is at \\( x = 0 \\), but its initial velocity and constant acceleration are unknown. The car’s position is: \\( x = 44 \\) \\( \\text{m} \\) at \\( t = 4.0 \\) \\( \\text{s} \\) and \\( x = 170 \\) \\( \\text{m} \\) at \\( t = 10.0 \\) \\( \\text{s} \\)."
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url: "https://nerd-notes.com/ubq/114271/"
date_modified: "2026-08-18T02:37:25+00:00"
---

# At \( t = 0 \), a car is at \( x = 0 \), but its initial velocity and constant acceleration are unknown. The car’s position is: \( x = 44 \) \( \text{m} \) at \( t = 4.0 \) \( \text{s} \) and \( x = 170 \) \( \text{m} \) at \( t = 10.0 \) \( \text{s} \).

At \( t = 0 \), a car is at \( x = 0 \), but its initial velocity and constant acceleration are unknown. The car’s position is: \( x = 44 \) \( \text{m} \) at \( t = 4.0 \) \( \text{s} \) and \( x = 170 \) \( \text{m} \) at \( t = 10.0 \) \( \text{s} \).

**Part a)** Determine the car’s initial velocity. *(3 points)*

**Part b)** Determine its acceleration. *(3 points)*

**Part c)** Determine its velocity at \( t = 10.0 \) \( \text{s} \). *(3 points)*


*The answer key and step-by-step explanation are available to logged-in users at https://nerd-notes.com/ubq/114271/*