In a time of

t

seconds, a particle moves a distance of

s

meters from its starting point, where

s=6t^(2)+3

.\ (a) Find the average velocity between

t=1

and

t=1+h

if:\ (i)

h=0.1

\ (ii)

h=0.01

\ (iii)

h=0.001

\ Enter the exact answers.\ (i) When

h=0.1

, the average velocity between

t=1

and

t=1+h

is

(m)/(sec)

.\ (ii) When

h=0.01

, the average velocity between

t=1

and

t=1+h

is

(m)/(sec)

.\ (iii) When

h=0.001

, the average velocity between

t=1

and

t=1+h

is

(m)/(sec)

.\ (b) Use your answers to part (a) to estimate the instantaneous velocity of the particle at time

t=1

.\ Round your estimate to the nearest integer.\ The instantaneous velocity appears to be

(m)/(sec)

.

In a time of t seconds, a particle moves a distance of s meters from its starting point, where s=6t2+3. (a) Find the average velocity between t=1 and t=1+h if: (i) h=0.1 (ii) h=0.01 (iii) h=0.001 Enter the exact answers. (i) When h=0.1, the average velocity between t=1 and t=1+h is m/sec. (ii) When h=0.01, the average velocity between t=1 and t=1+h is m/sec. (iii) When h=0.001, the average velocity between t=1 and t=1+h is m/sec. (b) Use your answers to part (a) to estimate the instantaneous velocity of the particle at time t=1. Round your estimate to the nearest integer. The instantaneous velocity appears to be m/sec