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# Answers to Two and Three Dimension of motion Questions

QA billiard ball (A) with a mass of 0.165 kg is
traveling at 4.2 m/s. It strikes ball B, which is
identical to ball A and is stationary. Ball moves on at
angle of 25 degrees to the left of its original
direction, which ball B moves 65 degrees to the right. a)
Draw a vector diagram to show how the law of conservation
of momentum could be applied to this situation. b) Write
a simplified equation, in terms of mass and the velocity
variables, to show how the law of conservation of
momentum could be applied to this situation. c) Use the
vector diagram and suitable calculation to determine
speeds of ball A and ball B after the collision.
Conservation of momentum will be applied to x and y directions seperately Along x axis m 4.2 = 0.91v Along y axis 0 = m 0.42 v or v substituting in eq 1 and solving we get
hence |

Q Vector A has a magnitude of 25 units and vector B has a magnitude of 15 units. What is the minimum and maximum magnitude of a vector A + B?