High School

A brick is dropped (zero initial speed) from the roof of a building. The brick strikes the ground in 1.69 seconds. You may ignore air resistance, so the brick is in free fall. How tall is the building? Please give your answer in units of meters.

Answer :

Using the equation for height in free fall, the height of the building is approximately 14.7499 meters.

To find the height of the building, we can use the equations of motion for an object in free fall. The equation we'll use is:

h = (1/2) × g × t²

Where:

h = Height of the building

g = Acceleration due to gravity (approximately 9.8 m/s^2)

t = Time is taken for the brick to strike the ground

Given that the time taken (t) is 1.69 seconds, we can substitute the values:

h = (1/2) × 9.8 m/s² × (1.69 s)²

h = 0.5 × 9.8 m/s² × (1.69 s)²

h = 0.5 × 9.8 m/s² × 2.8561 s²

h = 14.7499 m

Therefore, the height of the building is approximately 14.7499 meters.

Learn more about the equation for height at

brainly.com/question/29461549

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