A brick is dropped (zero initial speed) from the roof of a building. The brick strikes the ground in 3.05 s. You may ignore air resistance, so the brick is in free fall.

(a) How tall, in meters, is the building?
(b) What is the magnitude of the brick's velocity just before it reaches the ground?

H= 1/2gt^2

V=gt

To find the height of the building, we can use the equation of motion in free fall:

h = (1/2) * g * t^2

where h is the height, g is the acceleration due to gravity (approximately 9.8 m/s^2), and t is the time it takes to reach the ground.

(a) To find the height of the building, we can rearrange the equation:

h = (1/2) * g * t^2

h = (1/2) * 9.8 * (3.05)^2

h = 44.287 m

Therefore, the height of the building is approximately 44.287 meters.

(b) To find the magnitude of the brick's velocity just before it reaches the ground, we can use the formula:

v = g * t

where v is the velocity and g is the acceleration due to gravity.

v = 9.8 * 3.05

v = 29.89 m/s

Therefore, the magnitude of the brick's velocity just before it reaches the ground is approximately 29.89 m/s.

To find the height of the building, we can use the equation of motion for free fall:

h = 1/2 * g * t^2

Where:
h is the height of the building
g is the acceleration due to gravity (approximately 9.8 m/s^2)
t is the time taken for the brick to hit the ground (in seconds)

(a) Let's calculate the height of the building:
h = 1/2 * 9.8 * (3.05)^2
= 1/2 * 9.8 * 9.3025
≈ 45.05325 meters

Therefore, the height of the building is approximately 45.05325 meters.

To find the magnitude of the brick's velocity just before it reaches the ground, we can use another equation of motion:

v = g * t

Where:
v is the final velocity of the brick
g is the acceleration due to gravity (approximately 9.8 m/s^2)
t is the time taken for the brick to hit the ground (in seconds)

(b) Let's calculate the magnitude of the brick's velocity:
v = 9.8 * 3.05
≈ 29.89 m/s

Therefore, the magnitude of the brick's velocity just before it reaches the ground is approximately 29.89 m/s.