A baseball pitcher is attempting to strike out a batter and they throw their best fast ball at 40m/s. The distance between the pitchers mound and the center of home plate is 17.5m. The batter swings the bat at an average of 12 rad/s just 0.3s after the pitcher releases the ball and the angular displacement of the bat from the batters shoulder to the hitting position directly over the place is 1.65 rads. Will the bat strike the ball, or will the batter have swung to early or too late