SOLUTION: If the distance covered by an object in time t is given by s(t)=2t^2+3, where s(t) is in meters and t is in seconds, what is the average velocity over the interval from 2 seconds t

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Question 1180073: If the distance covered by an object in time t is given by s(t)=2t^2+3, where s(t) is in meters and t is in seconds, what is the average velocity over the interval from 2 seconds to 4 seconds?
a. 15 meters/second
b. 14 meters/second
c. 13 meters/second
d. 12 meters/second
e. 11 meters/second
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

If the distance covered by an object in time+t is given by
s%28t%29=2t%5E2%2B3, where s%28t%29+is in meters and+t is in seconds, what is the average velocity over the interval from 2+seconds to 4+seconds?

The average velocity over an interval [a,b] for the position function s%28t%29+can be found by the difference quotient
%28s%28b%29-s%28a%29%29%2F%28b-a%29
b=4 seconds
s%284%29=2%2A4%5E2%2B3=35
a=2 seconds
s%282%29=2%2A2%5E2%2B3=11
the average velocity is
%28s%28b%29-s%28a%29%29%2F%28b-a%29=%2835-11%29%2F%284-2%29=24%2F2=12


answer: d. 12+%28meters%2Fsecond%29