A model rocket is launched with an initial upward velocity of 100 ft/s. The rocket's height h (in feet) after t seconds is given by the following.
Find all values of for which the rocket's height is feet.
h=100t-16t^2
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)

Question

A model rocket is launched with an initial upward velocity of 100 ft/s. The rocket's height h (in feet) after t seconds is given by the following.
Find all values of  for which the rocket's height is  feet.
h=100t-16t^2
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)

TurtlePrincess · Answer

Hi what is the Rockers hight?

darkknight · Answer

"Find all values of  for which the rocket's height is  feet.
" you didn't copy paste correctly, we don't know what time to find for which height

Florisalreadytaken · Answer

there is like a blank space i think -- thats why its blank

Florisalreadytaken · Answer

oh nvm am wrong lol -- i kinda overthought it
$$ h=100 \cdot \frac{25+\sqrt{625-4 h}}{8}-16 \cdot\left(\frac{25+\sqrt{625-4 h}}{8}\right)^{2} $$
$$ \ \ \Updownarrow $$
$$ h=h $$
so there are infinite solutions -- sorry $  \underset{\huge\smile}{.   .} $

darkknight · Answer

florisalreadytaken wrote:

oh nvm am wrong lol -- i kinda overthought it $$ h=100 \cdot \frac{25+\sqrt{625-4 h}}{8}-16 \cdot\left(\frac{25+\sqrt{625-4 h}}{8}\right)^{2} $$ $$ \ \ \Updownarrow $$ $$ h=h $$ so there are infinite solutions -- sorry $ \underset{\huge\smile}{. .} $

I think the question was originally asking to find all values of t when h = *insert height that they didn't give here*

Florisalreadytaken · Answer

mhm i realised that : )