Question

(Quadratics) a win gust blows a cone from a branch on a redwood tree. The cones's height h, in meters above the ground can be modeled by h(t)=-4.9t2-t+75. where t is the time in seconds since the cone broke from the branch. To the nearest tenth of a second, how long does the cone fall before hitting the ground?

Answer 1

When the cone hits the ground, its height above the ground is zero.
Set h(t) = 0 and solve for t
-4.9t^2 -t + 75 = 0
Use the quadratic formula.

Answer 2

Ok so far i got \[1\pm \sqrt{1471}\div -9.8 \] is that right so far?

Answer 3

Right