Question

A model rocket is launched with an initial upward velocity of 175/fts. The rocket's height h (in feet) after t seconds is given by the following h=175t - 16t^2. Find all values of for which the rocket's height is 85 feet. Round your answer(s) to the nearest hundredth. (If there is more than one answer, use the "or" button.)

Answer 1

0.51 second or 10.43 second

Step-by-step explanation:

`h = 175 t - 16t^(2)`

Put h = 85 feet

`16t^(2) - 175 t + 85 = 0`

Solve the equation and find the values of t

`t = \frac{175\pm \sqrt{(-175)^(2)-4* 16* 85)}}{2* 16}`

t = 0.51 second or 10.43 second