Learn Before
Example: Solving a Falling Object Application
To find the time an object takes to reach the ground, use the formula . For example, if sunglasses are dropped from a bridge feet above a river, substitute into the formula to get . Taking the square root of gives , which simplifies to . Checking this answer, seconds is a reasonable amount of time. Therefore, it will take seconds for the sunglasses to reach the river.
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Intermediate Algebra @ OpenStax
Ch.8 Roots and Radicals - Intermediate Algebra @ OpenStax
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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 (in seconds) it takes for a tool dropped from a height of feet to reach the ground, which formula is used?
In a workplace safety manual, the time (in seconds) it takes for a tool to fall from a height of feet to the ground on Earth is calculated using the formula . In this formula, the value of the constant 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 , arrange the following steps in the correct order to calculate the time (in seconds) it takes for an object dropped from a height of 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 in seconds it takes to reach the ground from a height of feet on Earth is calculated using the formula .
Learn After
A construction safety manager is demonstrating how to use the formula to estimate the time it takes for a tool to fall from a height of 400 feet. Arrange the following steps in the correct order to find the final time as shown in the example.
A safety instructor is reviewing an example where sunglasses are dropped from a bridge 400 feet above a river. Based on the formula provided in the lesson, how many seconds did the lesson conclude it would take for the sunglasses to hit the water?
As a safety auditor reviewing a fall-risk incident report, you are verifying the data from the training example where an object is dropped from a bridge. Match each mathematical component of that specific scenario to its corresponding numerical value.
In the training example provided, a pair of sunglasses is dropped from a bridge height of feet. According to the calculations shown in that specific scenario, the time () it takes for the object to reach the water is ____ seconds.
As part of your site safety certification, you review an incident example of an object dropped from a 400-foot bridge. According to the training example, using the formula results in a calculated fall time of 20 seconds.