During a tornado in 2008 the Peachtree Plaza Westin Hotel in downtown Atlanta suffered damage. Suppose a piece of glass dropped near the top of the hotel falls 215 meters. How long would it take the piece of glass to hit the ground?

Respuesta :

Answer:

Time = t = 6.62 s

Explanation:

Given data:

Height = h = 215 m

Initial velocity = [tex]v_{i}[/tex] = 0 m/s

gravitational acceleration = g = 9.8 m/s²

Time = t = ?

According to second equation of motion

                            [tex]h = v_{i}t + \frac{1}{2}gt^{2}[/tex]

As initial velocity is zero, So the first term of right hand side of above equation equal to zero.

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

                                        t² = [tex]\frac{2h}{g}[/tex]

                                         t =[tex]\sqrt{\frac{2h}{g} }[/tex]

                                         t = [tex]\sqrt{\frac{(2)(215) }{9.8} }[/tex]

                                         t = 6.62 s

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