contestada

A ball bearing took 20.9ˍs to fall when dropped from a helicopter. From what height was the ball bearing dropped?

Respuesta :

[tex]\boxed{ \bf{Given : }}[/tex]

  • Time taken by a ball bearing = 20.9 seconds

  • Initial velocity,u = 0 m/s [ Body starts from rest ]

  • Acceleration due to gravity,g = 9.8 m/s²

[tex] \boxed{ \bf{To \: be \: calculated : }}[/tex]

From what height was the ball bearing dropped?

[tex] \boxed{ \bf{Solution : }}[/tex]

By using second equation for freely falling body, we get:

[tex] \sf{h = ut + \frac{1}{2} gt {}^{2} }[/tex]

Substituting the values..

[tex] \sf\rightarrow \: h = 0 \times 20.9 + \dfrac{1}{ \cancel{2}} \times \cancel{9.8} \times 20.9[/tex]

[tex] \sf \rightarrow \: h = 0 + 4.9 \times 20.9[/tex]

[tex] \sf \rightarrow \: 102.41 \: m \: (approx)[/tex]

[tex] \bf \therefore \: Height \: is \: 102.41 \: m[/tex]