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Question of the DayThe magnitudes of two vectors A and B are 12 and 8 units, respectively. Which of the following pairs of numbers represent the largest and smallest possible magnitude of the resultant vector R = A + B ?a. 14.4 units, 4 units b. 12 units, 8 units c. 20 units, 4 units d. None of the above 0% 0% 0% 0%10 14.4 units, 4 units 12 units, 8 units 20 units, 4 units None of the aboveIf at least one component of a vector is a positive number, the vectora. Cannot have any component that is negative.b. Cannot be zero c. Cannot have 3 dimensions0% 0% 0%10Cant hven .. noa ay. Cannot be zero Cannot have 3 dime...Mechanics – study of motion KinematicsDynamics (mathematical description,(cause of motion)ignores cause of motion)Approach: Use particle model (objects treated as point-like:has mass but infinitesimal size)Focus: Motion along a Straight Line (1-dimensional)Goal: Find position x(t), velocity v(t) z(t)x(t)y(t)v (t) v (t)y z v (t)x , vx o o Goal of Classical Mechanics:Predict the future motion of a particle, given its initial conditions(x , v ) and the effect of the environment (acceleration a)o o Defining Position x(t)origin• Defined in terms of a coordinate system – One dimensional: the x- or y-axis • object’s “position” - location with respect to the coor- dinate system A Position-Time Graph – ...
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