Question

100 point if anyone can finish all of my work i would really appreciate it <3

Answer 1

8. Image below!

9. 134 feet

10. Below.

11. The answers represent the timings at which the rocket was at height 164 feet.

12. 5.702s

Explanation:

8. Image below

9.
`f(1)= -16(1)^2+100(1)+50 = 134`

I'm doing this in a rush but I can tell you what you can do for the rest.

10. Use the quadratic formula

`164 = -16x^2+100x+50\\\\0 = -16x^2+100x-214\\\\`

And set a= -16, b=100, c=-214

You'll get two x-values.

11. The answers represent the timings at which the rocket was at height 164 feet.

12. Hitting the ground means the height is equal to 0. So...

`0 = -16x^2+100x+50\\`

Using the quadratic formula you get

x=5.702s

and

x= 0.548s

This means the rocket hits the ground at 5.702s.