Apinball bounces around its machine before resting between two bumpers. before the ball came to rest, its displacement (all angle measuresup from x axis) was recorded by a series of vectors.83 cm at 90 degrees59cm at 147 degrees69cm at 221 degrees45cm at 283 degrees69cm at 27 degreeswhat is the magnitude and the direction?

The magnitude of the resultant vectors is 64.69 cm

The  direction of the vector of the vector is 332.4 ⁰ north west

The given parameters;

The resultant displacement is calculated by resolving each vector into x and y components.

The y-component of the vectors assuming all vectors are measured counter-clockwise from x-axis;

The x-component of the vectors

The magnitude of the resultant vectors is calculated as;

The direction of the vector;

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the diagram which shows forces as either balanced = same speed or unbalanced = accelerarting

can be answered using momentum.

momentum = p

p1= mass1 * velocity1

p1 = p2

therefore

p1 = 6kg * 4m/s

p1 = 24kgm/s

p2=m2 * v2

24 kgm/s = 7kg * v2

v2 = 24 kgm/s / 7kg

v2= 3.42 m/s