Map sapling learning A pinball bounced around its machine before resting between

Question

Map sapling learning A pinball bounced around its machine before resting between two bumpers. Before the ball came to rest, its displacement (all angles measured up from x axis) was27 recorded by a series of vectors L=67 cm 83 cm at 90° 51 cm at 144 69 cm at 229 43 cm at 285° 67 cm at 27° 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 direction Number magnitude-57.73cm INCORRECT Number direction 300.4O INCORRECT

Explanation / Answer

d = (83 j + (51*cos(144))i + (51*sin(144))j + (69*cos229)i + (69*sin229)j + (43*cos285)i + (43*sin285)j +(67*cos27)i + (67*sin27)j

d = -15.7 i + 49.78 j

Maginutde = ((-15.7)2 + (49.78)2 )1/2

d = 52.19 m

Direction = tan-2 49.78/-15.7 = 72.49 degrees

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