In a baseball game a player hits a home run. Under the influence of both gravity and air resistance, the flight of the baseball is described by the (two dimensional) space curve r(t)=x(t)i+y(t)j where x(t)=1-e-0.22t and 0.22 -Vocosa y(t)=1+ 1-e-0.22t, 0.22 (vosina +0.22) -0. g It 0.22 VO Horizontal distance traveled by the ball Here t is the time in seconds from the time that the ball is hit, x and y are the horizontal and vertical coordinates in metres (with the home plate at the origin (0,0)), g=9.81 the gravitational constant of acceleration in m/sec, vo is the baseball's initial speed in m/sec and a is the initial angle to the horizontal in which the baseball is struck. If the baseball hits the ground at time t=11 sec a distance 110m from the home base, what was its initial speed vo m/sec and angle a from the horizontal? Give your answer for a in degrees and round up your answers for both a and vo to 2 decimal places. V = a =