Á pațtiçle P" is projected from a point O on a horizontal plarfe with speed u. at an angle of0 to the horizoital, It hits a point A on the horizontal plane. Show iliat: (i) The time of Night of P is given by 2u sin0 T: (ii) The horizontal range O4 is given by

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Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter6: Applications Of Newton's Laws
Section: Chapter Questions
Problem 129CP: In a later chapter, you will find that the weight of a particle varies with altitude such that...
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(a) Á pațtiçle P " is projected from a point O on a horizontal plarie with speed u, at an angle of o to the
horizointal, It hits a point A on the horizontal plane. Show ihiat:
(i) The time of Night of P is given by
2usin 0
T =
(ii) The horizontal range O4 is given by
R= sin 20
intb)
Two particles P and Q are simultancously projected from a point () on a horizontal plane with spceds u,
icle
and u, respectively at angles a and p to the horizontal. Particles P and Qhit the points A and B
respectively on the horizontal plane at the same time, where O4 = AB = a.
%3D
Show that tan a = 2 tan B
Transcribed Image Text:(a) Á pațtiçle P " is projected from a point O on a horizontal plarie with speed u, at an angle of o to the horizointal, It hits a point A on the horizontal plane. Show ihiat: (i) The time of Night of P is given by 2usin 0 T = (ii) The horizontal range O4 is given by R= sin 20 intb) Two particles P and Q are simultancously projected from a point () on a horizontal plane with spceds u, icle and u, respectively at angles a and p to the horizontal. Particles P and Qhit the points A and B respectively on the horizontal plane at the same time, where O4 = AB = a. %3D Show that tan a = 2 tan B
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