Answer:
t = 14 seconds
Step-by-step explanation:
Given that,
A package is accidentally dropped from a helicopter from a height of 3,136ft.
The equation for height as a function of time is :
[tex]h(t) = -16t^2 + \text{initial height}[/tex]
So,
[tex]h(t) = -16t^2 +3,136[/tex]
When it hits the ground, h(t) = 0
So,
[tex]-16t^2 +3,136=0\\\\-16t^2=-3136\\\\t^2=\dfrac{3136}{16}\\\\t^2=196\\\\t=14\ s[/tex]
So, it will take 14 seconds for the package to hit the ground.
