Question

The height, h, in meters above ground, of a projectile at any time, t, in seconds, after the launch is defined by the

Answer 1

Answer:

the projectile reached a maximum height of 27.6 meters in 2.4 seconds and it took 5.0 seconds for it to hit the ground

Step-by-step explanation:

to find the vertex you can find the axis of symmetry first

that equation is -b/2a

-19/-8 = 2.375

then you take this and plug it in

-4(2.375)^2 + 19*2.375 + 5

that gives you 27.5625

then you have to find when it hits the ground

you can factor to find this out

-4t^2 + 19t + 5

4t^2 - 19t - 5

4t^2 + t - 20t - 5

t(4t + 1) -5(4t +1)

(t - 5)(4t + 1)

t = {5, -1/4}

we can only take positive time so it took 5 seconds

the answer is the second one