let h=144
-16t^2 + 96t=144
and solve for t
-16t^2 + 96t=144
and solve for t
Substituting the given equation h = -16t^2 + 96t into the equation h = 144, we get:
-16t^2 + 96t = 144
Now we have a quadratic equation. To solve it, we need to rearrange the equation to be in the form of ax^2 + bx + c = 0. Let's rearrange the equation:
-16t^2 + 96t - 144 = 0
Next, we can simplify the equation by dividing the entire equation by -16(take out the common factor of -16):
t^2 - 6t + 9 = 0
Now we have the quadratic equation in the form of t^2 - 6t + 9 = 0. To solve this quadratic equation, we can factorize or use the quadratic formula.
Let's try to factorize the equation:
(t - 3)(t - 3) = 0
From this, we can see that t = 3.
Therefore, it will take the object 3 seconds to reach a height of 144 feet.