Question

An armadillo is startled by a coyote and jumps straight into the air, creating the shape of a parabola. The parabola can be represented by the equation h=-16t^2+46t+6

a. How high is the armadillo after 0.5 seconds?

b. After how many seconds does it land on the ground?

Answer 1

Answer:

a) 25 units

b) 3 seconds

Step-by-step explanation:

a) h= -16t² + 46t + 6

t = 0.5

h = -16(0.5)² + 46(0.5) + 6

h = 25

b) -16t² + 46t + 6 = 0

8t² - 23t - 3 = 0

8t² - 24t + t - 3 = 0

8t(t - 3) + (t - 3) = 0

(8t + 1)(t - 3) = 0

t = -⅛, 3

t = 3 seconds