Respuesta :
I just got this one correct, it's C. 7.0 :) Hope i helped!
Answer:
Time taken, t = 7 seconds
Step-by-step explanation:
It is given that,
A rocket is launched from atop a 36-foot cliff with an initial velocity of 107 feet per second. When an object is project from certain height, then the height of the object is given by the following function as :
[tex]h(t)=-16t^2+vt+h[/tex]................(1)
Where, h = initial height = 36 foot
v is initial velocity, v = 107 feet per second
We have to find how long after the rocket is launched it will hit the ground (h = 0)
Using above parameter in equation (1)
[tex]-16^2+107t+36=0[/tex]
On solving the above quadratic equation, we get the value of t = 7 seconds
Hence, the correct option is (c) " 7 sec ".