After you win the face-off you and Francois both head toward the opposing team\'
ID: 2043905 • Letter: A
Question
After you win the face-off you and Francois both head toward the opposing team's goal. You both leave from the exact center of the ice at the same time. You have the puck and head directly towards the goal along the x-axis with a velocity of magnitude v1, while Francois heads towards the same goal at an angle theta above the x-axis with a velocity of magnitude v2. Suddenly, your path to the goal is blocked while Francois remains open.
In your reference frame, at what angle relative to the x-axis do you have to pass the puck to complete the pass to Francois? Give your answer in terms of v1, v2, and theta.
Explanation / Answer
x dir V,rel= v1 - v2cos
y dir V,rel= v2sin
angle require= - tan-1(v2sin/(v1-v2cos)) if v1>v2cos
= 0 - tan-1(v2sin/(v1-v2cos)) otherwise