Chapter_4_examples - EXAMPLE 4.1: A ball is projected...

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Unformatted text preview: EXAMPLE 4.1: A ball is projected horizontally at 15m/s from a cliff of height 20 m. Find: (a) its time of flight; (b) its horizontally range R. (The horizontal displacement from the point of firing.) m s s m t t x and s m m y Given 3 . 30 02 . 2 / 15 v R (b) 2.02s or -2.02s t Thus, t 4.9- 20 0, y (a) (ii) 4.9t- 20 y (i) 15 , v ; / 15 v ; 20 ; x : 0x 2 2 0y 0x = = = = = = = = = = = = Example 4.2: A projectile is fired from the ground with an initial velocity v at an angle above the horizontal. Find: (a) the time of flight; (b) the horizontal range R; (c) the shape of the path. ) ( ) cos ( 2 ) (tan ) cos ( 2 1 cos ) sin ( ) ( 2 sin sin 2 ) cos ( ) ( sin 2 ) 11 . 4 ( 2 / 1 ) 9 . 4 ( 2 2 2 2 2 c x v g x v x g v x v y b g v g v v R a g v t gt t v y y t v x x y x - =- = = = =- + = + = Example 4.3-1: A ball is thrown a 21 m/s at 30 above the horizontal from the top of a roof 16m high. Find: (a) the time of flight; (b) the horizontal range; (c) the maximum height; (d) the angle at which the ball hits he ground; (e) the velocity when it is 2m above the roof. x= 18.2 t (4.9 ) y= 16+10.5 t -4.9t 2 (4.11) t = Given: x =0; y =16m;v =21m/s and =30 .v 0x =v cos =18.2m/s v 0y = v sin =10.5 m/s ) ( 03 . 1 , 17 . 3 8 . 9 49 64 5 . 10 5 . 10 2 a s s- = + Example 4.3-2:Example 4....
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This note was uploaded on 05/01/2011 for the course ELECTRIC MAT351 taught by Professor Ahmettantuni during the Spring '10 term at Abant İzzet Baysal University.

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Chapter_4_examples - EXAMPLE 4.1: A ball is projected...

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