A pinball bounced around its machine before resting between two bumpers. Before

Question

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) was recorded by a series of vectors. 83 cm at 90

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) was recorded by a series of vectors. 83 cm at 90 degree 53 cm at 144 degree 61 cm at 223 degree 49 cm at 287 degree 61 cm at 29 degree Use the figure on the right to draw these displacements starting at the "X""

Explanation / Answer

expressing in terms of x and y components and adding them up,

we get nett displacement=83*cos 90 i +83*sin 90 j +53*cos 144 i +53*sin 144 j+61*cos 223 i +61*sin 223 j+49*cos 287 i+49*sin 287 j+61*cos 29 i+61*sin 29 j

magnitude=58.7

direction=109.72 degrees

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