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a brick is dropped (zero initial speed) from the roof of a building. the brick strikes the ground in 1.90 s. you may ignore air resistance, so the brick is in free fall.

Respuesta :

The building 17.69 meters tall.

Explanation

We have given that

u = 0 m/s                          (initial velocity)

t = 1.90 s                           (time)

a = g = 9.80 m/s²             (acceleration = falling = gravity)

We will use the second equation of motion to determine the height(S) of the building in meters:

⇒ S =  [tex]ut + \frac{1}{2} at^2[/tex]

⇒ S = (0)(1.90) + [tex]\frac{1}{2}[/tex](9.80)(1.90)²

⇒ S = 4.9 × 3.61

       = 17.69 meters

What is velocity?

Velocity is the directional speed of a moving item as an indication of its rate of change in position as seen from a specific frame of reference and measured by a specific time standard (e.g., 60 km/h northbound). The idea of velocity is crucial in kinematics, the part of classical mechanics that explains the motion of bodies.

A physical vector quantity called velocity requires both magnitude and direction to be defined. Speed is a coherent derived unit that expresses the scalar absolute value (magnitude) of velocity. Its quantity is expressed in SI units (metric system) of metres per second (m/s or ms1). For example, "5 meters per second" is a scalar while "5 meters per second east" is a vector.

Learn more about velocity

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Full question

A brick is dropped (zero initial speed) from the roof of a building. The brick strikes the ground in 1.90 s. You may ignore air resistance, so the brick is in free fall. (a) How tall, in meters, is the building?