02_P66InstructorSolution

02_P66InstructorSolution - 2.66 Model Visualize Solve Both...

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2.66. Model: Both cars are particles that move according to the constant-acceleration kinematic equations. Visualize: Solve: (a) David’s and Tina’s motions are given by the following equations: 2 D1 D0 D0 D1 D0 D D1 D0 D0 D1 2 2 T1 T0 T0 T1 T0 T T1 T0 T T1 1 ( ) ( ) 2 1 1 ( ) ( ) 0 m 0 m 2 2 x x v t t a t t v t x x v t t a t t a t = + + = = + + = + + When Tina passes David the distances are equal and D1 T1 , t t = so we get 2 D0 D1 T1 D0 D1 T T1 D0 T T1 T1 2 T 1 1 2 2(30 m/s) 30 s 2 2 2.0 m/s v x x v t a t v a t t a = = = = = = Using Tina’s position equation,
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