Solve the problem.
-The amount of time it takes an object dropped from an initial height of $h _ { 0 }$ 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 9.7 seconds to reach the ground. Use
The above equation to approximate the height of the Sears Tower to the nearest foot.
A) 1,032 feet
B) 1,219 feet
C) 1,584 feet
D) 1,505 feet

Question

Quizplus · Accepted Answer

The formula given is $t = \sqrt { \frac { h _ { 0 } - h } { 16 } }$, where $t$ is the time in seconds, $h_0$ is the initial height, and $h$ is the final height (which is 0 when the object reaches the ground). Plugging in $t = 9.7$ seconds and $h = 0$, we solve for $h_0$: $9.7 = \sqrt { \frac { h _ { 0 } - 0 } { 16 } }$. Squaring both sides and solving for $h_0$ gives $h_0 = 9.7^2 \times 16 = 1,505$ feet, to the nearest foot.

Solve the Problem h0h _ { 0 }h0​ Feet to Reach a Height of H Feet Is Given

Solve the Problem $h _ { 0 }$ Feet to Reach a Height of H Feet Is Given