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Finding the Fall Time for Sunglasses Dropped from 400 Feet
Problem: Sunglasses are dropped from a bridge 400 feet above a river. Using the falling objects formula , find the number of seconds it takes for the sunglasses to reach the river.
- Read the problem.
- Identify: The time for the sunglasses to reach the river.
- Name: Let = time in seconds.
- Translate: Write the falling objects formula and substitute :
- Solve: Evaluate the square root: . Then divide:
- Check: Substitute back: , and is true. Five seconds is a reasonable time for a small object to fall 400 feet. ✓
- Answer: It takes 5 seconds for the sunglasses to reach the river.
This problem applies the seven-step formula-based strategy to the falling objects formula. Because is a perfect square (), the square root simplifies to a whole number, making the arithmetic straightforward.
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Ch.9 Roots and Radicals - Elementary Algebra @ OpenStax
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Finding the Fall Time for Sunglasses Dropped from 400 Feet
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A bridge maintenance worker accidentally drops a pair of sunglasses from a height of 400 feet. To find the fall time using the formula t = square root of h / 4, the worker must first calculate the square root of the height. The square root of 400 is ____.
A bridge safety inspector is using the formula t = square root of h / 4 to analyze a 400-foot drop. Match each component of the calculation with its correct value for this specific scenario.
A bridge maintenance technician needs to calculate the time it takes for a pair of sunglasses to hit the river after falling from a height of 400 feet. Using the formula t = sqrt(h) / 4, place the following steps in the correct order to solve the problem.
A bridge maintenance worker accidentally drops a pair of sunglasses from a height of 400 feet above a river. Using the falling objects formula , how many seconds will it take for the sunglasses to reach the water?
A bridge safety coordinator is calculating the time it takes for a dropped tool to reach the water from a height of 400 feet. True or False: Using the falling objects formula , the resulting fall time () is 5 seconds.
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When calculating the fall time for sunglasses dropped from a 400-foot bridge using the formula , why is the arithmetic described as straightforward?
A bridge maintenance team is using a seven-step strategy to calculate the fall time of an object dropped from 400 feet. According to the worked example, what is the specific objective of the 'Identify' step?