why is this question so difficult?
The height of a rocket launched from the ground is given by the function s(t) = -16 t^2 + 80 t,
where s is in feet above ground and t is in seconds.
After 3 seconds, the rocket is ________ feet above ground.
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
then After 3 seconds, the rocket is traveling at a velocity of _________ feet per second.
OpenStudy (lgbasallote):
Can I just answer your first question?
Because it is..lol xD
OpenStudy (anonymous):
lol sure!!
OpenStudy (anonymous):
s(3)=-16(3)^2+80(3)=96 ft
OpenStudy (anonymous):
v(t)=s'(t)=-32t+80
v(3)=-32(3)+80=-16ft/s
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
thanks
OpenStudy (anonymous):
wait how do I find if The rocket is 60 feet above ground at what times?
OpenStudy (anonymous):
set s(t)=60,solve for t
OpenStudy (anonymous):
you'll have a quadratic equation, it's a parabola so there should be 2 answers
OpenStudy (anonymous):
ok i got -38,200
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
and the the other answer is pos. 38,200
OpenStudy (anonymous):
am I right?
OpenStudy (anonymous):
am I right?
OpenStudy (anonymous):
let me check
OpenStudy (anonymous):
i highly doubt those are the right answers, the rocket will have hit the ground long before those times
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
\[-16t^2+80x-60=0\]
Solving for t,
\[t= \frac{(5 \pm \sqrt{10})}{2}\]