A prisoner, 1.80 meters in height, was discharged in consideration due to his advanced in age. In order to receive full pardon, he must run as fast as he can towards the country border 100 meters from the prisoner's position to be totally free. Unknown to the prisoner, he was not meant to be discharged alive, due to the heinous crimes he has committed. An archer with an exceptional accuracy, hidden from the prisoner, was 15 meters behind him. As soon as the prisoner started running at a rate of a = 0.012t m/s², an arrow was released 30 seconds after the prisoner moved from rest, from a 2-meter high at an angle of 30 degrees above horizontal aiming at the middle of his body for a sure kill (neglect air resistance). a. What should be the initial velocity of the arrow if the prisoner was dead before reaching the country border? b. What was the distance from the country border to the dead prisoner?

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Functions
Section8.7: Direct And Inverse Variation
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A prisoner, 1.80 meters in height, was discharged in consideration due to his advanced in age. In order to receive full pardon, he must run as fast as he can towards the country border 100 meters from the prisoner's position to be totally free. Unknown to the prisoner, he was not meant to be discharged alive, due to the heinous crimes he has committed. An archer with an exceptional accuracy, hidden from the prisoner, was 15 meters behind him. As soon as the prisoner started running at a rate of a = 0.012t m/s², an arrow was released 30 seconds after the prisoner moved from rest, from a 2-meter high at an angle of 30 degrees above horizontal aiming at the middle of his body for a sure kill (neglect air resistance). a. What should be the initial velocity of the arrow if the prisoner was dead before reaching the country border? b. What was the distance from the country border to the dead prisoner?
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