The height in meters of a rocket launched from the ground after t seconds is modeled by h(t)=-9.8r^2+49t. Graph a graph represen

Question

k0ka [10]

4 years ago

7

The height in meters of a rocket launched from the ground after t seconds is modeled by h(t)=-9.8r^2+49t. Graph a graph represen

ting the interval of time when the rocket will be higher than 40 meters

Mathematics

2 answers:

Darina [25.2K] · Answer 1 · 2021-12-01T13:09:36+03:00

Darina [25.2K]4 years ago

7 0

9.8t^2-49t+40=0

t=(49±√833)/19.6

t≈1.027, 3.97

1.027<t<3.97

borishaifa [10] · Answer 2 · 2021-12-01T15:05:09+03:00

First, find where it is equal to 40 meters and find where it is above it

40=-9.8t²+49t
9.8t²-49t+40=0

using quadratic formula
t=1.02746 and x=3.97254
test a point in the middle
h(2)=58.8
that is higher

so the interval would be from x=1.02746 to 3.9754
1.02746<x<3.9754 is the interval

to graph it, graph h(t)=-9.8t²+49t-40 and the part where it is above the x axis is where it is higher than 40 meters