Consider a system consisting of three components as pictured. the system will continue to function as long as the first component functions and cither component 2 or component 3 functions. let x1, x2, and x3 denote the lifetimes of components 1, 2, and 3, respectively. suppose the x, s are independent of one another and each x1 has an exponential distribution with parameter. let y denote the system lifetime. obtain the cumulative distribution function of y and differentiate to obtain the pdf. [hint: f(y) = p(y y): express the event [ y y] in terms of unions and/or intersections of the three events {x1 y}, {x2 y}, and {x3 y}.] compute the expected system lifetime.

You need to be more specific.  i really don't know what a "motion map" is.you can draw a graph of an object's position, distance, displacement, speed,velocity, or acceleration versus time, or you can draw a graph of the object's x-position versus its y-position and not give any information about time at all.if the graph presents position or displacement against time,  then constant velocity is a straight line . . i.e. a line that has  constant slope.if the graph shows speed against time, then constant velocityis a horizontal piece of line.if the graph shows acceleration against time, then constant  velocity is a piece of line that lies on the x-axis . . it's value is zero. 

It vibrates to one to the other