# Given the position function s (t) = t cos t, find the velocity function.

## Question:

Given the position function {eq}\displaystyle s (t) = t \cos t {/eq}, find the velocity function.

## Velocity and displacement:

Given a displacement function s(t), the velocity function of time v(t) can be obtained using the following relation :

{eq}v(t) = \frac{dS}{dt} {/eq}

## Answer and Explanation:

Given s(t) = t cos t

{eq}v(t) = \frac{dS}{dt} = \cos{t} - t \sin{t} {/eq}

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Velocity in Math: Definition, Equation & Problems

from High School Precalculus: Help and Review

Chapter 14 / Lesson 8
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