SOLUTION: Let s(t)=10t^2+5t+80 be the position, in miles, of a car driving on a straight road at time t, in hours. The car's velocity at any time t is given by function v(t)=20t+5 When

Algebra ->  Functions -> SOLUTION: Let s(t)=10t^2+5t+80 be the position, in miles, of a car driving on a straight road at time t, in hours. The car's velocity at any time t is given by function v(t)=20t+5 When       Log On


   



Question 318102: Let s(t)=10t^2+5t+80 be the position, in miles, of a car driving on a straight road at time t, in hours. The car's velocity at any time t is given by function v(t)=20t+5
When the car is going 45 mph, it's position is s = ??? miles.

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find t using v.
Then find s.
20t%2B5=45
20t=40
t=2 hours
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s%282%29=10%284%29%2B5%282%29%2B80
s%282%29=40%2B10%2B80
s%282%29=130 miles