a) The tallest building in the world is located in Dubai and is the Burj Khalifa which measures 828 meters high (just for comparison, the twin towers in the United States were 527 meters, the Eiffel Tower is 300 meters and the Statue of Liberty less than 100 meters). If a free-falling object is dropped from the top of the Burj Khalifa tower (bypassing the air friction), how long will it take for that object to reach the ground?   b) There are several towers currently under construction that plan to beat Burj's Khalifa record, one of them is the Dubai Creek Tower which is expected to be completed by the 2023 and that it reaches 1300 meters high, if one of the builders drops a brick from that height, how long would it take for that brick to reach the ground? At what velocity would the brick hit the ground?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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When an object is dropped in frictionless free fall) from a height h to a initial velocity V0, the distance traveled d can be expressed as a function of time elapsed t (in seconds) using the equation d = V0t +(1/2)gt2, where g is gravity which on earth is taken as 9: 8 m/s2; If you want to calculate the final velocity Vf of the object, you can use the formula Vf = V0 + gt

a) The tallest building in the world is located in Dubai and is the Burj Khalifa which measures 828 meters high (just for comparison, the twin towers in the United States were 527 meters, the Eiffel Tower is 300 meters and the Statue of Liberty less than 100 meters). If a free-falling object is dropped from the top of the Burj Khalifa tower (bypassing the air friction), how long will it take for that object to reach the ground?

 

b) There are several towers currently under construction that plan to beat Burj's Khalifa record, one of them is the Dubai Creek Tower which is expected to be completed by the 2023 and that it reaches 1300 meters high, if one of the builders drops a brick from that height, how long would it take for that brick to reach the ground? At what velocity would the brick hit the ground?

Vf = Vo + gt
Transcribed Image Text:Vf = Vo + gt
d = Vot + 5gt²
2
Transcribed Image Text:d = Vot + 5gt² 2
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