A3) A particle is projected at an angle of 8° below the horizontal from a point at the top of a vertical cliff 26 m high. The particle strikes horizontal ground at a distance 8 m from the foot of the cliff 2 s after the instant of projection. Find: (i) (ii) the speed of projection of the particle and the value of 0°, the direction of motion of the particle immediately before it strikes the ground. (i) x = v, cos et 8 * vo cos e - (1) 2 1 y = vo sin 0 t 1 : -26 = v, sin 8 (2) –(9.81)(2)² * vo sin e = -3.19 - -(2) (1)² + (2)²: v3 = (4² + 3.19²) = 26.176 = vo = 5.1 m/s from (2): 0 = 38.6° (ii) Vy = v, sin e – gt Just before striking gound: v, = -3.19 – (9.81)(2) = –22.81 m/s %3D |vy| 22.81 - tan a = 4 : a = 80.05° below the horizontal

A3) A particle is projected at an angle of 8° below the horizontal from a point at the top of a vertical cliff 26 m high. The particle strikes horizontal ground at a distance 8 m from the foot of the cliff 2 s after the instant of projection. Find: (i) (ii) the speed of projection of the particle and the value of 0°, the direction of motion of the particle immediately before it strikes the ground. (i) x = v, cos et 8 * vo cos e - (1) 2 1 y = vo sin 0 t 1 : -26 = v, sin 8 (2) –(9.81)(2)² * vo sin e = -3.19 - -(2) (1)² + (2)²: v3 = (4² + 3.19²) = 26.176 = vo = 5.1 m/s from (2): 0 = 38.6° (ii) Vy = v, sin e – gt Just before striking gound: v, = -3.19 – (9.81)(2) = –22.81 m/s %3D |vy| 22.81 - tan a = 4 : a = 80.05° below the horizontal

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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