In: Math
239.Brett and Jordan are out driving in the coordinate plane, each on a separate straight road. The equations Bt = (−3, 4) + t[1, 2] and Jt = (5, 2) + t[−1, 1] describe their respective travels, where t is the number of minutes after noon. (a) Make a sketch of the two roads, with arrows to indicate direction of travel. (b) Where do the two roads intersect? (c) How fast is Brett going? How fast is Jordan going? (d) Do they collide? If not, who gets to the intersection first?
(a)- Different paths only intersects at one point only as in sketch.
(b) intersection of roads occurs at point (x,y)=(-1,8).
(c) 1. Speed of brett=√(5) 2. Speed ofJorden=√2.
(d) they doesn't collide each other, Brett intersects first at t=3min on y axis.