Homework SourseA particle starts at the point P324 when t0 and moves along
A particle starts at the point P=(?3,?2,?4) when t=0 and moves along a straight line toward Q=(?7,?7,?9) at a speed of 4 cm/sec. Let x, y, and z be measured in cm, and t in seconds. Find a parametric vector equation for the position of the object.
Solution
It starts at (-5,5,-3) and it moves along the unit vector ((-7,10,-4)-(-5,5,-3))/sqrt(2^2+5^2+1^… = (-2,5,-1)/sqrt(30) at 4 cm/s. The parametric equation is therefore (-5,5,-3) + 4t(-2,5,-1)/sqrt(30) where t is time in seconds.
