Question 125365This question is from textbook algebra and trigonometry with analiytic geometry
:
As a particle moves along a straight path, its speed v (in cm/sec) at time t (in seconds) is given by the equation v= t^4 - 49t^2 + 60 . For what subintervals of the time interval [6,9] will its speed be at least 60 cm/sec?
Please enter your answer in interval notation.
This question is from textbook algebra and trigonometry with analiytic geometry
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! As a particle moves along a straight path, its speed v (in cm/sec) at time t (in seconds) is given by the equation v= t^4 - 49t^2 + 60 . For what subintervals of the time interval [6,9] will its speed be at least 60 cm/sec?
Please enter your answer in interval notation.
----------------------------------
t^4-49t^2+60 >= 60
t^4-49t^2>=0
t^2(t+7)(t-7)>=0
In the interval [6,9], 7<= t <= 9, or [7,9]
======================
Cheers,
Stan H.
|
|
|
