Answer:
Step-by-step explanation:
There's not a whole lot of work to show if you know how to use the quadratic formula to factor a quadratic. We are given the parabolic model for this situation and are asked how long it takes for the rocket to hit the ground. The height of the rocket when it is ON the ground is 0, so sub in a 0 for h and factor to find t:
[tex]-4.9t^2+35t+12=0[/tex]
Plugging this into the quadratic formula gives you 2 times:
t = -.33 seconds and
t = 7.47 seconds
Since we all know that the 2 things in math that will NEVER be negative are distance measures and time, we can disregard the negative time and go with t = 7.47 seconds.
