Question

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?

Answer 1

Answer:

Time = t = 6.62 s

Explanation:

Given data:

Height = h = 215 m

Initial velocity = $v_{i}$ = 0 m/s

gravitational acceleration = g = 9.8 m/s²

Time = t = ?

According to second equation of motion

                            $h = v_{i}t + \frac{1}{2}gt^{2}$

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

                                 $h = \frac{1}{2}gt^{2}$

                                        t² = $\frac{2h}{g}$

                                         t =$\sqrt{\frac{2h}{g} }$

                                         t = $\sqrt{\frac{(2)(215) }{9.8} }$

                                         t = 6.62 s