A major league baseball pitcher throws a pitch that follows these parametric equations x t 143t y t 16t 4t 5 The time units are

Question

A major league baseball pitcher throws a pitch that follows these parametric equations x t 143t y t 16t 4t 5 The time units are seconds and the distance units are feet The distance between the location of the pitcher and homeplate where the batter stands is 60 5 feet Give EXACT answers unless instructed otherwise a Calculate the horizontal velocity of the baseball at time t this is the function x t b What is the horizontal velocity of the baseball when it passes over homeplate c What is the vertical velocity of the baseball at time t this is the function y t d Recall that the speed of the baseball at time t is s t x t y t ft sec What is the speed of the baseball in mph when it passes over homeplate mph e At what time does the baseball hit the ground assuming the batter and catcher miss the ball f What is the magnitude of the angle at which the baseball hits the ground ft sec ft sec ft sec sec rad This is the absolute value of the angle between the tangential line to the path of the ball and the ground Give your answer in radians to three decimal places

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