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Final answer:
The velocity of an object in free fall from a given height can be determined using the equation of motion. In this case, the pen's velocity before touching the ground is 16 m/s.
Explanation:
The velocity of the pen right before touching the ground can be calculated using the equation of motion for free fall. Since the pen falls from a height of 20 meters and takes 8 seconds to fall, its velocity just before hitting the ground would be 16 m/s.
Learn more about Free fall velocity calculation here:
https://brainly.com/question/30467259
Answer:
Para encontrar la velocidad en el momento justo antes de tocar el suelo, podemos usar la ecuación de la cinemática:
\[ v = v_0 + at \]
Donde:
- \( v \) es la velocidad final (la que estamos buscando).
- \( v_0 \) es la velocidad inicial, que en este caso es cero ya que el lápiz está en reposo antes de caer.
- \( a \) es la aceleración debida a la gravedad, que en la Tierra es aproximadamente \( 9.8 \, \text{m/s}^2 \) hacia abajo.
- \( t \) es el tiempo que tarda en caer, que en este caso es 8 segundos.
Sustituyendo los valores conocidos:
\[ v = 0 + (9.8 \, \text{m/s}^2)(8 \, \text{s}) \]
\[ v = 78.4 \, \text{m/s} \]
Por lo tanto, la velocidad justo antes de tocar el suelo es de \( 78.4 \, \text{m/s} \).
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