some body help me plzzz
post the question, will try
aww thank u
k here is the question
A softball is thrown up into the air. The ball's height in feet is modeled by the equation h(t) = -16t2 + 32t + 5. h = height t = time in seconds Find the maximum height of the ball. a) 7.6 feet b) 12.2 feet c) 13.9 feet d) 8.3 feet
are you allowed to differentiate?
yes
i dont seem to get any of the above answers, i think it might be a tricky question...
yh it is any ways thank u for trying
the answer is 21 feet See http://www.wolframalpha.com/input/?i=h%28t%29+%3D+-16t2+%2B+32t+%2B+5 Are you sure you don't have a typo?
options dont match,,ans that comes out is max height is 21 at t=1
there fore wt u guys think the answer gone be?? :)
21
hw ? on the choose there is no 21
Unless you made a mistake in the question, it is a "bogus question".
Okay what do you get when you take the derivative of -16x^2 + 32t + 5 ?
-32t + 32 so the zero is at t=1 if we put this back into the original equation we get 21 like everyone said so yeah the answers are all incorrect.
smthinga off..........time taken to reach max height = time to fall :P so if t=1 is time taken..........2 shud be a root?
The only alternative answers I can think of are: 1. When t=0, h=5, so maybe the question is asking for the height of the ball above the starting height, in which case it would be 21-5=16 --> still no matches 2. Maybe you were also given the height of the person throwing the ball and asked to find the max height the ball reaches above this persons head?
@A.Avinash_Goutham your statement is only true for symmetric paths. here the starting height is 5.
yeah i was about to post that :P
@A.Avinash_Goutham If you find the roots of the original function add them together and divide by 2 you still get t=1 as a max because the roots add up to 2
yeah i checked that
i think i am late for this
@this u sure that qn is right?
yes :)
Graph the equation and use the MAXIMUM value on your graphing utility to find the greatest y-value. Graph the equation and use the MAXIMUM value on your graphing utility to find the greatest y-value.
\[h(t) = -16t^2 + 32t + 5\] max is at vertex, where \(t=-\frac{b}{2a}=-\frac{32}{2\times (-16)}=1\) \[h(1)=-16+32+5=16+5=21\]
if you want to show off and use calculus, you can say \[h(t)=-16t^2+32t+5\] \[h'(t)=-32t+32\] set equal zero get critical point \[-32t+32t0\] \[-32t=-32\] \[t=1\] \[h(1)=21\] no difference
thanks ya'all r the best :)
Join our real-time social learning platform and learn together with your friends!