Question

In a tastal garne aplayer hits a home nr, Unhtertuence ot bepney and ar resistance, tengd ofte basebal sanoted by he-。omernorap sewe am where basebaits initial speed in msec and a s the intal angle to the horiontal in which the basebalis struck Oive your answor for a in degrees and round up your answers for both a and v to 2 decimal places 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) = r(js+y(t)/ where 1-e-0.27t 0.27 ocosa -Horizontal distance traveled by the ball- and 1-e-0.27t gt v027 osina+027)-027 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/sec2, 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-5 sec a distance 121m from the home base, what was its initial speed vo m/sec and angle a from the horizontal?

Answer 1

ス b all angl! a- 12 voces a ·27

dy 2o 2- ヅ1) [w,sm a +2.EL) e .m ー dt 36.33333) -36-333 oos vosma +36 13833) 36 333 32- V371- 348399