Rev1 - PAGE 1 Revision 1 1. Starting from the position x =...

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Unformatted text preview: PAGE 1 Revision 1 1. Starting from the position x = +20 m , a particle moving in a straight line has a velocity ( ) s / m 2 t ) 1 t ( 6 v − − = , where t is the time in seconds. Determine the distance traveled by the particle during the first 2 seconds: (5 MARKS) SOLUTION: Solve the folowing questions: ( )( ) ( ) ( )( ) ( ) ( ) ( ) ( ) ( ) ( ) m x t At m x t At onds given duration the within are values Both t t t t v at s po verse t t t x dx dt t t dx dt t t dx vdt dt dx v v m x t at C I x t x t o 24 20 2 12 2 9 2 2 sec 2 25 20 1 12 1 9 1 2 sec 1 sec 2 : sec 2 sec& 1 2 1 6 : int Re ) 1 ( 20 12 9 2 2 3 6 2 1 6 & 20 : . 2 3 2 2 3 1 2 3 20 2 20 = + + − = = = + + − = = = = ⇒ = − − = − − − − + + − = ⇒ = + − ⇒ = − − ⇒ = ⇒ = = + = ⇒ = ∫ ∫ ∫ ∫ m D x x x x D Traveled ce Dis 6 25 24 20 25 : tan 1 2 1 = − + − = − + − = − x O m x o 20 = m x 24 2 = t = 0 t = 2sec t = 1sec m x 25 1 = t 2 2 y sin dt dy y 4 dt dy y ) 5 .....( y 4 y ydy y d y y dy y d y y dy y d y ) 4 ....( t 2 cos 2 x t 2 cos 2 t 2 sin 2 x 2 t 2 2 x sin t 2 2 x sin 2 1 dt dx x 4 16 dt dx x ) 3 .....( x 4 16 x 16 x 4 x 8 x 2 2 x xdx 4 x d x x 4 dx x d x x dx x d x y x & m 2 y x : C . I ) 2 ....( y y & ) 1 .....( x 4 x ) 1 1 y 2 t 2 ....
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Rev1 - PAGE 1 Revision 1 1. Starting from the position x =...

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