CPM Homework Help : CALC Problem 11-57

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

Coach's Notes:
Artfish L. Turf will throw the football at $\it{t = 3}$ seconds. The ball's horizontal position $\it{x(t)}$ and the height $\it{y(t)}$ (measured in feet) are shown below. The ball will be caught $6$ feet above the ground by Pete Moss.

$x(t) = 40t − 120$
$y(t) = −16t^2 + 144t − 282$

Find the general velocity and acceleration vectors for the ball's flight.
Find the velocity and acceleration of the ball when the catch is made.
Hint (b):
Evaluate each of the vectors from part (a) for $t = 6$ .