Asked by Peter
A car moves along a straight road in such a way that its velocity (in feet per second) at any time t (in seconds) is given by v(x) = 3x sqrt(9-x^2) on an interval of 0,3.
Find the distance traveled by the car in 3 seconds.
Find the distance traveled by the car in 3 seconds.
Answers
Answered by
Reiny
v(x) = 3x sqrt(9-x^2) = 3x(9-x^2)^(1/2)
s(x) = -(9-x^2)^(3/2) + c
s(0) = -27 + c
s(3) = 0 + c
distance = (0 + c) - (-27 + c) = 27 ft
s(x) = -(9-x^2)^(3/2) + c
s(0) = -27 + c
s(3) = 0 + c
distance = (0 + c) - (-27 + c) = 27 ft
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.