At time t = 0 seconds, a hockey puck is headed towards the "board" (the wall around the perimeter of the area of play) as shown in the figure (the view is from above the playing surface). At that same instant, a hockey player at a different position on the ice is headed straight up the ice in order to intercept the puck (see figure). The trajectories of the puck and the player are described by the following set of parametric equations: Find the location(s) of intersection of the trajectories of the player and the puck. Distances are in feet and time is in seconds. [figure is not necessarily drawn to scale]

Question

At time t = 0 seconds, a hockey puck is headed towards the "board" (the wall around the perimeter of the area of play) as shown in the figure (the view is from above the playing surface). At that same instant, a hockey player at a different position on the ice is headed straight up the ice in order to intercept the puck (see figure). The trajectories of the puck and the player are described by the following set of parametric equations:  Find the location(s) of intersection of the trajectories of the player and the puck. Distances are in feet and time is in seconds.  [figure is not necessarily drawn to scale]

Quizplus · Accepted Answer

The Answer of At time t = 0 seconds, a hockey puck is headed towards the "board" (the wall around the perimeter of the area of play) as shown in the figure (the view is from above the playing surface). At that same instant, a hockey player at a different position on the ice is headed straight up the ice in order to intercept the puck (see figure). The trajectories of the puck and the player are described by the following set of parametric equations:  Find the location(s) of intersection of the trajectories of the player and the puck. Distances are in feet and time is in seconds.  [figure is not necessarily drawn to scale]

At Time T = 0 Seconds, a Hockey Puck Is