a basball pitcher pitches with a horizontal velocity of 80mph(36m/s) the horizonatal distance from the point of release to home plate is 59ft. the batter decides to swing thebat 0.30seconds after the ball was released by the pitcher. the batter swings the bat with an average angular velocity of 675 degree/second. the angular displacement needed to get the bat from behind the batter's shoulder to the hitting position above home plate is 155degree, now assuming that the batter does hit the ball and makes contact at the sweet pot. the bat has an intantanous angular velocity of 1375.2 degree/second at the instant of contact. the distance from the axis of rotation for the swing to the sweet spot of the bat is 1.25meters. in m/s what is the intantous linear velocity of the sweet spot at the instant of ball contact?