A baseball is hit when it is 3 ft above the ground. It leaves the bat with initial speed of 152 ft>sec, making an angle of 20° with the horizontal. At the instant the ball is hit, an instantaneous gust of wind blows in the horizontal direction directly opposite the direction the ball is taking toward the outfield, adding a component of -8.8i (ft>sec) to the ball’s initial velocity (8.8 ft>sec = 6 mph). (A) What is the direction of the acceleration vector as a function of time?(B) Find the vectors, unit tangent , Unit normal , and the scalar components aT , aN .(C) What are the scalar components aT and aN when the ball is passing over the 340foot fence. What do these tell us?
A baseball is hit when it is 3 ft above the ground. It leaves the bat with initial speed of 152 ft>sec, making an angle of 20° with the horizontal. At the instant the ball is hit, an instantaneous gust of wind blows in the horizontal direction directly opposite the direction the ball is taking toward the outfield, adding a component of -8.8i (ft>sec) to the ball’s initial velocity (8.8 ft>sec = 6 mph).
(A) What is the direction of the acceleration vector as a function of time?
(B) Find the vectors, unit tangent , Unit normal , and the scalar components aT , aN .
(C) What are the scalar components aT and aN when the ball is passing over the 340
foot fence. What do these tell us?
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