Question

1) The polar coordinates of an object are r = 2t+4t m and O=t-trad. What are the radial and transverse components of the total external acceleration on the object at t=1s? A player kicks a ball with a speed of 80 m/s and at an angle of 30° (a) Determine X (horizontal distance) and Y (vertical distance) att 55 (b) Determine the maximum possible height of projective. (c) Determine horizontal distance that the ball.

Answer 1

Problem (1) Sol " briven 0 7 = 24² +4+ O= t²t (68+4) E- gradi od component On. radical component 1 ay = 12t at t=1s i fan = 12 m/s2 atz cut transverse component a = 48 = r do 259 (24-1) = 9.82 = 2x(2+'+4+) at t=1s : 96= 2X (2+4) (9 = 12 mk2 Ang Prebler, 2) sol?! cal In horizontal dir" x= u caso it 530 _ = Qocos 30 x 5 x= 346-41m / Ang in vertical dion y= ut + I at usin30 x 5 - 7 x 9.81852 y = 79.315m Ang

(6) " for maximum height v² = u²+295 O= (usin 30 )² + 2X-9.811 h h = (do sin 30) ² 2x 9.8) Ihmax 81.55m / Any (c) for horizontal distant for motion A to B vertical displacement o n s = ut + bat? o= (usin 3o) KX - 1 x 9.81 x te t=2usinzo - 8.2558 9.01 ... In horizontal direction { x = (ucoso xts Box (230 x 0.155 (S = 565m Ang