Respuesta :

Answer:

h = 69.6 m

Explanation:

Data:

  • Vo = 25 m/s
  • t = 2.0 s
  • g = 9.8 m/s²
  • h = ?

Formula:

  • [tex]\boxed{\bold{h=V_{0}*t+\frac{g*(t)^{2}}{2}}}[/tex]

Replace and solve:

  • [tex]\boxed{\bold{h=25\frac{m}{s}*2.0\ s+\frac{9.8\frac{m}{s^{2}}*(2.0\ s)^{2}}{2}}}[/tex]
  • [tex]\boxed{\bold{h=50\frac{m}{s^{2}}+\frac{9.8\frac{m}{s^{2}}*4\ s^{2}}{2}}}[/tex]
  • [tex]\boxed{\bold{h=50\ m+\frac{39.2\ m}{2}}}[/tex]
  • [tex]\boxed{\bold{h=50\ m+19.6\ m}}[/tex]
  • [tex]\boxed{\boxed{\bold{h=69.6\ m}}}[/tex]

The building has a height of 69.6 meters.

Greetings.