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## Homework Statement

In a time of

**t**seconds, a particle moves a distance of

**s**meters from its starting point, where

**s=3t[tex]^2[/tex]+13**.

Find the average velocity between

**t=1**and

**t=1+h**if

(i)

**h=0.1**(ii)

**h=0.01**(iii)

**h=0.001**

Use the obtained answers to estimate the instantaneous velocity of the particle at time

**t=1**.

The average velocity between

**t=1**and

**t=1+h**

(i) when

**h=0.1**is ____ m/s;

(ii) when

**h=0.01**is ____ m/s;

(iii) when

**h=0.001**is ____ m/s.

The instantaneous velocity appears to be ______ m/s

## Homework Equations

## The Attempt at a Solution

h=0.1 3(0.1)[tex]^2[/tex]+13=13.03

h=0.01 3(0.01)[tex]^2[/tex]+13=13.0003

h=0.001 3(0.001)[tex]^2[/tex]+13=13

What am I supposed to do next in this problem?