(Solution) - A man is riding on a flatcar traveling -(2025 Original AI-Free Solution)

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A man is riding on a flatcar traveling at a constant speed of 9.10 m/s (Fig. 3.54). He wishes to throw a ball through a stationary hoop 4.90 m above the height of his hands in such a manner that the ball will move horizontally as it passes through the hoop. He throws the ball with a speed of 10.8 m/s with respect to himself.
(a) What must the vertical component of the initial velocity of the ball be?
(b) How many seconds after be releases the ball will it pass through the hoop?
(c) At what horizontal distance in front of the hoop must he release the ball?
(d) When the ball leaves the man's hands, what is the direction of its velocity relative to the frame of reference of the flatcar? Relative to the frame of reference of an observer standing on the ground