Straight-Line Motion: Connecting Position, Velocity, and Acceleration

Abigail Young

6 min read

Next Topic - Rates of Change in Applied Contexts other than Motion

Study Guide Overview

This study guide covers rectilinear motion, focusing on the relationship between position, velocity, and acceleration using derivatives. It explains how to determine speed and direction of motion from velocity, and how acceleration impacts velocity. Practice problems and solutions reinforce these concepts.

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Previous Topic - Interpreting the Meaning of the Derivative in Context Next Topic - Rates of Change in Applied Contexts other than Motion

Question 1 of 11

🚗 A particle's position is given by $x(t) = 5t^2 + 2t - 7$ . What is the velocity function, $v(t)$ ?

$5t + 2$

$10t + 2$

$10t - 7$

$5t^3 + t^2 - 7t$

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Straight-Line Motion: Connecting Position, Velocity, and Acceleration

Abigail Young

How are we doing?