3. 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.