Answer:
The rocket will take 9.25 seconds to return to ground .
Solution:
Given:
Initial velocity = 148 ft per seconds
Height "h" after "t" seconds is given by equation:
[tex]h(t) = -16t^2 + 148t[/tex]
To find:
Time taken by rocket to return to ground =?
Solution:
The time taken by rocket to return to ground can found by substituting h(t) = 0 in the given equation.
[tex]0 = -16t^2 + 148t[/tex]
Taking t outside
t(-16t + 148) = 0
Zero product property. The zero product property states that if a⋅b = 0 then either a or b equal zero. This basic property helps us solve equations like (x+2)(x-5) = 0
So for above equation we get,
t =[tex]0 \text{ or } -16t + 148 = 0[/tex]
[tex]-16t + 148 = 0[/tex]
[tex]-16t = -148[/tex]
t = 9.25
When t = 0 , the rocket would not left the ground. So ignore t = 0
So t = 9.25
