Pete Moss is reviewing his notes again, shown below. He knows he needs to catch the ball when $t = 6$, three seconds after the quarterback throws the pass.

1. What are the velocity vector and speed of the football when Pete catches it?

   Hint (a):

   See the homework help for 11-57 (a).
   $\text{speed} = \left|\text{velocity}\right|$, or the length of the velocity vector (when $t = 6$)

2. Specify the direction the football is traveling in when Pete catches it.

   Hint (b):

   Sketch the velocity vector from part (a).
   Use inverse tangent to determine the direction of the vector.

   Step (b):

   $\tan^{-1}\Big(\frac{y^\prime(6)}{x^\prime(6)}\Big)$