PHSX 114 - HW #4 Solutions

PHSX 114 - HW #4 Solutions - or 96 o counterclockwise from...

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Homework Assignment 4 - Solutions 4. Given that 6.80 x V = units and 7.40 y V = - units, the magnitude of V r is given by ( 29 2 2 2 2 6.80 7.40 10.0 units x y V V V = + = + - = . The direction is given by an angle of 1 o 7.40 tan 47 6.80 θ - - = = - , or o 47 below the positive x -axis or 313 0 ccw wrt +x direction, since x component is > 0, but y component is < 0. 8. ( a ) 1 6.6 units x V = - 1 0 units y V = o 2 8.5cos 45 6.0 units x V = = o 2 8.5sin 45 6.0 units y V = = ( b ) ( 29 ( 29 1 2 1 2 , 0.6,6.0 x x y y V V V V = + + = - 1 2 V + V r r ( 29 ( 29 2 2 1 o 6.0 0.6 6.0 6.0 units tan 84 0.6 - = - + = = = 1 2 V + V r r The sum has a magnitude of 6.0 units, and is 84 o clockwise from the – negative x-axis,
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Unformatted text preview: or 96 o counterclockwise from the positive x-axis, since x component is &lt;0 and y component is &gt;0. 9. The distance traveled is 2.0 miles ( 29 8 laps 0.25mi lap o . The displacement is 0 because the ending point is the same as the starting point. ( a )Average speed = 2.0mi 2 mi 1610 m 1 min 4.3m s 12.5min 12.5min 1 mi 60 s d t = = = ( b ) Average velocity = 0 m s v x t = = 1 V r 2 V r 1 2 + V V r r V r x V r y x y V r...
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