Watch Segment D (Vectors and Scalars), Segment E (Graphical Resolution of Vectors) and Segment F (Mathematic Resolution of Vectors) at https://www.gpb.org/physics-in-motion (The GPB Physics In Motion video series). Then write answers to the following questions, showing all your calculations.
[a] A child with mass Y kilograms (kg) who is skating eastward in a hockey rink at Y centimeters per second (cm/s) runs into another child, also with mass Y kg, who is skating northward at Z cm/s. The children grab onto each other and keep moving across the ice. Draw a diagram of this interaction, labeling all the relevant objects, quantities, and velocity vectors before and after the collision.
[b] What is the velocity (magnitude and direction) of the two children after they collide? Your answer should be significant to two digits.
[c] Do you think these two children are likely to have been injured in the collision? In a paragraph of at most 50 words, explain using scientific and mathematical reasoning why you think so or not.
List any reference sources, such as books or websites, if you used them to help you come to your conclusion.