Question

Please answer and show and explain your steps.

Answer 1

Answer:

After 0.4 seconds, the rocket will fall to the ground.

Step-by-step explanation:

You can use the quadratic formula.

t = 23±√529+200

   -----------------------

            -10

t=-5

t=0.4

Answer 2

Answer:

$\displaystyle five\:seconds$

Step-by-step explanation:

Factour this trinomial. Now, as you can see, there is a negative inserted in front of the trinomial. If you are afraid of negatives, easily factour it out and begin the factorisation process:

$\displaystyle -5t^2 + 23t + 10 \hookrightarrow 5t^2 - 23t - 10 \\ \\ [5t^2 - 25t] + [2t - 10] \\ 5t[t - 5]\:\:2[t - 5] \\ \\ [t - 5][5t + 2]$

Set the factors equal to zero to determine the time:

$\displaystyle 0 = [t - 5][5t + 2] \\ \\ -\frac{2}{5}, 5 = t$

*Time is NEVER negative, therefore it will take five seconds for the rocket to hit the ground.

I am joyous to assist you at any time.