Course Contents

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PROBLEM SET

3

avgvelocity -1\ The position (in meters) of a farticle moving along a straight line is given by

s(t)=6t^(2)+1t+12

, where

t

is measured in seconds.\ What is the averace velocitv on each of the aiven unit time intervals?\

3,4

\

4,5

\ Tries

(0)/(80)

\ What is the average velocity on each of the given half-unit time intervals?\

3.5,4

\

4,4.5

\ Tries

(0)/(80)

\ What is the instantaneous velocity at time

t=4

?\ Tries

(0)/(80)

\ Determine the equation of the tangent line to the curve

s(t)=6t^(2)+1t+12

at the point

(4,s(4))

.\ (The domain variable in this problems is

t

. )

y=

\ Tries

(0)/(80)

The position (in meters) of a farticle moving along a straight line is given by s(t)=6t2+1t+12, where t is measured in seconds. What is the average velocity on each of the aiven unit time intervals? [3,4] [4,5] Tries 0/80 What is the averaqe velocity on each of the aiven half-unit time intervals? [3.5,4] [4,4.5] Tries 0/80 What is the instantaneous velocity at time t=4 ? Tries 0/80 Determine the equation of the tangent line to the curve s(t)=6t2+1t+12 at the point (4,s(4)). (The domain variable in this problems is t. ) y= Tries 0/80