Amodel rocket is launched with an initial upward velocity of 202 ft/s. the rocket's height h (in feet) after t seconds is given by the following.

h= 202t-16t^2
find all values of t for which the rocket's height is 82 feet.

round your answer(s) to the nearest hundredth.
(if there is more than one answer, use the "or" button.)

The answer is:

The rocket will reach a height of 82 feet at:

and

We are asked to find the value(s) of t for which the rocket's height is 82 feet, so, we need to replace the height value (82 feet) into the given quadratic equation, and then, isolate "t" making the equation equal to 0.

So, writing the quadratic formula, we have:

The given function is:

Substituting h equal to 82 feet, we have:

Where,

Then, substituting it into the quadratic equation we have:

So, the rocket will reach a height of 82 feet at:

and

Have a nice day!

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.