You need to get into your fourth-floor apartment, but you have forgotten your key to the main ground floor door of the building. You call up to your lazy roommate to come down and let you in, but he says he will throw the keys down to you instead. The window that he throws the keys out of is 13 meters above the ground, and he chucks them with a speed of 2m/s at an angle of 20 degrees above horizontal. The acceleration due to gravity near the surface of earth is 9.8 m/s. How far back from the window do you need to stand to catch the keys?

Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter6: Motion In Two Dimensions
Section6.3: Relative Velocity
Problem 27PP
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You need to get into your fourth-floor apartment, but you have forgotten your key to the main
ground floor door of the building. You call up to your lazy roommate to come down and let you
in, but he says he will throw the keys down to you instead.
The window that he throws the keys out of is 13 meters above the ground, and he chucks them
with a speed of 2m/s at an angle of 20 degrees above horizontal.
The acceleration due to gravity near the surface of earth is 9.8 m/s?.
How far back from the window do you need to stand to catch the keys?
Transcribed Image Text:You need to get into your fourth-floor apartment, but you have forgotten your key to the main ground floor door of the building. You call up to your lazy roommate to come down and let you in, but he says he will throw the keys down to you instead. The window that he throws the keys out of is 13 meters above the ground, and he chucks them with a speed of 2m/s at an angle of 20 degrees above horizontal. The acceleration due to gravity near the surface of earth is 9.8 m/s?. How far back from the window do you need to stand to catch the keys?
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