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Chapter 3 Motion in Two and Three Dimensions

Chapter 3 Motion in Two and Three The Important PositionIn Three Dimensions , the location of a particle is specified by itslocation vector, r:r=xi+yj+zk( )If during a time interval tthe position vector of the particle changes fromr1tor2, thedisplacement rfor that time interval is r=r1 r2( )= (x2 x1)i+ (y2 y1)j+ (z2 z1)k( ) VelocityIf a particle moves through a displacement rin a time interval tthen its average velocityfor that interval isv= r t= x ti+ y tj+ z tk( )As before, a more interesting quantity is theinstantaneousvelocityv, which is the limitof the average velocity when we shrink the time interval tto zero.

Chapter 3 Motion in Two and Three Dimensions ... a medium like air or water which itself is moving with respect to the stationary ground; we can then find the velocity of the plane or boat with respect to the ground from the vector sum in Eq. 3.24. 3.2 Worked Examples 3.2.1 Velocity 1.

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