Final answer:
This question pertains to a high school-level physics problem focused on using conservation of momentum and trigonometry to calculate the velocity of an object after a collision.
Step-by-step explanation:
The student appears to be solving a physics problem involving conservation of momentum and the use of trigonometric functions to find a velocity after a collision (v'2). Specifically, they are dealing with a scatter problem where one object is deflected at a certain angle, described by θ2, which has been calculated to be 312° or about 312 degrees. This angle is in the fourth quadrant, indicating a rightward deflection from the positive x-axis. To find v'2, the student can use the conservation of momentum equations for the system along the y-axis. Applying the conservation of momentum along with trigonometric identities, one might set up equations for the momentum along the y-axis before and after the collision (m1 sin θ1 and m2 sin θ2 respectively) and solve for the unknown velocity.