A model rocket is launched with an initial upward velocity of 175 ft/s The rocket's height h (in feet) after t seconds is given by the following.
h = 175t - 16t^2
Find all values of t for which the rocket's height is 85
feet.
Round your answer(s) to the nearest hundredth.

Question

A model rocket is launched with an initial upward velocity of 175 ft/s The rocket's height h (in feet) after t seconds is given by the following.
h = 175t - 16t^2
Find all values of t for which the rocket's height is 85
feet.
Round your answer(s) to the nearest hundredth.

aihberkhan · Answer

Okay.

It is quite simple actually. The trick is to pull out all the numbers and realize why they are there. 

So plug in all the values: $85 = 175t - 16t^2$

Now simply continue to solve: $16t^2 - 175t + 85 = 0$

$t = (175±√((-175)2 - 4(16)(85))) / 2(16)$

$t = (175±158.70) / 32$

$t = 10.43$ seconds

$t = 0.51 $ seconds

aihberkhan · Answer

That's it! So the final answer is $t = 0.51 $ seconds

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aihberkhan · Answer

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anonymous · Answer

Thank you so much! :)