#### Answer

Time taken by the object will be 8.29 seconds.

#### Work Step by Step

Distance s(t) in feet travelled by a freely falling object is given by the function $s(t)=16t^2$
The height i.e. s(t) of Rogun Dam is 1100 feet.
Time taken will be-
$s(t)=16t^2$
Step-1: Substitute s(t) in the formula
$1100=16t^2$
Step-2: Divide both sides by 16
$\frac{1100}{16}=t^2$
Step-3: Use the square root property
$±\sqrt \frac{1100}{16}=t$
$± \frac{33.1662}{4}=t$
$± 8.2915=t$
Since time cannot be negative, $t=8.2915$ seconds which is approximately equal to 8.29 seconds.