the distance, d, in feet that an object falls in t seconds is modeled by the formula d = 16t². if you drop a…

the distance, d, in feet that an object falls in t seconds is modeled by the formula d = 16t². if you drop a rock from a cliff 1936 feet above the water, how long will it take for the rock to hit the water?\n\nthe rock will hit the water in \n(simplify your answer. type an exact answer using radicals as needed.)

the distance, d, in feet that an object falls in t seconds is modeled by the formula d = 16t². if you drop a rock from a cliff 1936 feet above the water, how long will it take for the rock to hit the water?\n\nthe rock will hit the water in \n(simplify your answer. type an exact answer using radicals as needed.)

Answer

Explanation:

Step1: Substitute d value

Given $d = 16t^{2}$ and $d=1936$, we substitute $d$: $1936 = 16t^{2}$

Step2: Solve for $t^{2}$

Divide both sides by 16: $t^{2}=\frac{1936}{16}=121$

Step3: Solve for $t$

Take the square - root of both sides. Since $t$ represents time and cannot be negative in this context, we have: $t=\sqrt{121}=11$

Answer:

11