problem03_03

University Physics with Modern Physics with Mastering Physics (11th Edition)

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3.3: The position is given by j i r ˆ ) s cm 0 . 5 ( ˆ ] ) s cm 5 . 2 ( cm 0 . 4 [ 2 2 t t + + = . (a) i ˆ ] cm 0 . 4 [ ) 0 ( = r , and j i j i ˆ ) cm 0 . 10 ( ˆ ) cm 0 . 14 ( ˆ s) 2 )( s cm 0 . 5 ( ˆ ] s) 2 )( s cm (2.5 cm 0 . 4 [ ) s 2 ( 2 2 + = + + = r . Then using the definition of average velocity, . j i v j i ˆ ) s cm 5 ( ˆ ) s cm 5 ( s 2 ˆ ) 0 cm 10 ( ˆ ) cm 4 cm 14 ( ave + = = - + - s cm 1 . 7 ave = v at an angle of ° 45 . b) j i j i v ˆ ) s cm 5 ( ˆ ) s cm 5 ( ˆ ) s cm 5 ( ˆ ) s cm 5 . 2 )( 2 ( + = + = = t t dt r d . Substituting for s 1 , 0 = t , and 2 s, gives: j i v j v ˆ ) s cm 5 ( ˆ ) s cm 5 ( s) 1 ( , ˆ ) s cm 5 ( ) 0 ( + = = , and j i v ˆ ) s cm 5
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