nodibies/view.php?id-1406422 10/13/2014 o1:ss PM S7ol 100 10/13/2014 01:s1 PM Qu

Question

nodibies/view.php?id-1406422 10/13/2014 o1:ss PM S7ol 100 10/13/2014 01:s1 PM Question 10 apling learning A pinball bounced around its machine resting between two bumpers. Before the ball came to its (all angles measured up from x axis) was recorded by a series of vectors. 83 cm at 90 51 cm at 159" 65 cm at 227" 49 cm at 287" 67 cm at 25" Use the figure on the right to draw these displacements in order with the first vector starting at the "X, and then determine the total displacement's magnitude and magnitude 39.0397: cm The total displacement is the vector that starts on the "X" and gons to the tip of the last veotor to be more careful drawing the displacement direction 25.640916 TOSHIBA

Explanation / Answer

x = 83 * cos(90) + 51 * cos(159) + 65 * cos(227) + 49 * cos(287) + 67 * cos(25) = - 16.89

y = 83 * sin(90) + 51 * sin(159) + 65 * sin(227) + 49 * sin(287) + 67 * sin(25) = 35.195

magnitude = sqrt(16.892 + 35.1952)

magnitude = 39.04 cm

---------------------------------------------

direction = arctan(35.195 / -16.89 )

= 115.64 deg

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