Example: Solving a Falling Object Application

A construction safety officer is training a team on the physics of falling objects to emphasize the importance of using safety tethers. To estimate the time $t$ (in seconds) it takes for a tool dropped from a height of $h$ feet to reach the ground, which formula is used?

In a workplace safety manual, the time $t$ (in seconds) it takes for a tool to fall from a height of $h$ feet to the ground on Earth is calculated using the formula $t = \frac{\sqrt{h}}{k}$. In this formula, the value of the constant $k$ is ____.

Safety Audit of Fall Time Estimates

A workplace safety officer is training employees to estimate the time it takes for a tool to fall from various shelf heights. According to the formula $t = \frac{\sqrt{h}}{4}$, arrange the following steps in the correct order to calculate the time $t$ (in seconds) it takes for an object dropped from a height of $h$ feet to reach the ground.

During a warehouse safety briefing, a facility manager states that if a box falls from a high storage rack, the time $t$ in seconds it takes to reach the ground from a height of $h$ feet on Earth is calculated using the formula $t = \frac{h}{4}$.