# 18 11 points previous answers scalcet7 131047 if two

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18. 1/1 points | Previous Answers SCalcET7 13.1.047. If two objects travel through space along two different curves, it's often important to know whether they will collide. (Will a missile hit its moving target? Will two aircraft collide?) The curves might intersect, but we need to know whether the objects are in the same position at the same time . Suppose the trajectories of two particles are given by the vector functions for Find the values of t at which the particles collide. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) t = 1 ( t ) = t 2 , 13 t 36 , t 2 r 2 ( t ) = 12 t 27 , t 2 , 15 t 0. Solution or Explanation Click to View Solution 19. 3/3 points | Previous Answers SCalcET7 13.1.048. Two particles travel along the space curves Find the points at which their paths intersect. (If an answer does not exist, enter DNE.) Find the points where the particles collide. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) 1 ( t ) = t , t 2 , t 3 r 2 ( t ) = 1 + 4 t , 1 + 16 t , 1 + ( x , y , z ) = (smaller x -value) ( x , y , z ) = (larger x -value) t = Solution or Explanation Click to View Solution z = 3 x 2 + y 2 y = 6 x 2 r 1 ( t ) = t 2 , 13 t 36 , t 2 r 2 ( t ) = 12 t 27 , t 2 , 15 t 0. t 54 r 1 ( t ) = t , t 2 , t 3 r 2 ( t ) = 1 + 4 t , 1 + 16 t , 1 + ( x , y , z ) = (smaller x -value) ( x , y , z ) = (larger x -value) t = 52 t .