The amount of time it takes an object dropped from an initial height of h0 feet to reach a height of h feet is given by the formula $t = \sqrt { \frac { h _ { 0 } - h } { 16 } }$ An object dropped from the top of the Sears Tower in Chicago takes 9.5 seconds to reach the ground. Use the Above equation to approximate the height of the Sears Tower.
A) 1,520 feet
B) 1,170 feet
C) 1,444 feet
D) 990 feet

Question

Quizplus · Accepted Answer

The equation given is $t = \sqrt { \frac { h _ { 0 } - h } { 16 } }$. We know that t = 9.5 seconds and h = 0 feet (since the object reaches the ground). Substituting these values into the equation, we get:$9.5 = \sqrt { \frac { h _ { 0 } - 0 } { 16 } }$Squaring both sides, we get:$90.25 = \frac { h _ { 0 } } { 16 }$Multiplying both sides by 16, we get:$h _ { 0 } = 1444$Therefore, the height of the Sears Tower is approximately 1,444 feet.

The Amount of Time It Takes an Object Dropped from an Initial