PLEASE HELP I WILL MARK YOU BRAINLIEST The function h(t)=- 16t^2 +92t describes the height of a model rocket. Use technology to

Question

3 years ago

8

PLEASE HELP I WILL MARK YOU BRAINLIEST The function h(t)=- 16t^2 +92t describes the height of a model rocket. Use technology to

graph the
function and answer the questions below. Round your answers to the nearest hundredths (3 points)
a. At what times is the model rocket at a height of 100 feet?
b. For how long is the rocket in the air?

Mathematics

1 answer:

Elden [556K] · Answer 1 · 2022-05-15T23:26:33+03:00

Elden [556K]3 years ago

6 0

Answer:

Step-by-step explanation:

100 = -16t^2 + 92t

16t^2-92t + 100 = 0

4t^2 - 23t + 25 = 0

t = [23 ±√(23^2-4(4)(25))]/[2(8)] ≈ 1.5, 4.3

The rocket has altitude of 100 ft at 1.5 sec and 4.3 sec.

:::::

0 = 16t^2-92t = t(16t-92)

t = 0, 5.75

Rocket is in the air for 5.75 seconds