A model rocket is launched with an initial upward velocity of 164/fts. The rocket's height h(in feet) after t seconds is given by the following.
h=164t-16t^2
Find all values of t for which the rocket's height is 92 feet. Round your answer(s) to the nearest hundredth.

Question

whpalmer4 · Answer

@KellyRjr Why did you close it?

anonymous · Answer

It was an accident when trying to update it.

whpalmer4 · Answer

You need to find values of $t$ where rocket's height ($h$) is 92 feet.

\[92 = 164t-16t^2\)

whpalmer4 · Answer

Oops, sorry:
$$92 = 164t-16t^2$$

Can you solve that quadratic?  You could factor, use the quadratic formula, complete the square...

anonymous · Answer

t= 41/8 + 1/8 sqrt1313

whpalmer4 · Answer

very good! that's one of them, but you should have two answers...

whpalmer4 · Answer

and you'll need to express those as numerical values

anonymous · Answer

The other is the same thing except -1/8

whpalmer4 · Answer

okay, what are the numerical values?

whpalmer4 · Answer

Here's a graph of height (y) vs. time (x):

anonymous · Answer

Would it be 9.654418 and 0.595582 ?

anonymous · Answer

@whpalmer4

whpalmer4 · Answer

yes, those are correct