Question

A carpenter dropped a hammer from a rooftop 80 feet above the ground. How long did it take the hammer to pass by the 3rd floor window that is 32 feet off the ground? Round your answer to the nearest tenth.

a. 1.7 seconds
b. 2.4 seconds
c. 3.1 seconds
d. 4.6 seconds

Answer 1

To determine how long the hammer took to pass the third-floor window, the equations of motion were used with gravity as the sole force. The hammer dropped 48 feet to the window, which resulted in a fall time of approximately 1.7 seconds by using the appropriate formula.

Step-by-step explanation:

To find out how long it took for the hammer to pass by the 3rd-floor window, we can use the concept of free fall. The time it takes for an object to fall from a certain height can be calculated using the formula: t = √(2h/g). Where t is the time, h is the height, and g is the acceleration due to gravity (approximately 9.8 m/s²). In this case, the height from the rooftop to the 3rd-floor window is 80 feet - 32 feet = 48 feet. Converting it to meters, we have 48 feet * 0.3048 meters/feet = 14.63 meters. Using the formula, we can calculate t = √(2h/g), t = √(2 * 14.63 / 9.8) ≈ 1.7 seconds. Therefore, it took approximately 1.7 seconds for the hammer to pass by the 3rd floor window.