A baseball crosses home plate with a velocity of 89.8 miles per hour, at an angle...

A baseball crosses home plate with a velocity of 89.8 miles per hour, at an angle of 30.0 degrees below horizontal, towards the batter. Shortly after, it has been hit by a baseball bat, and now has velocity 99.6 miles per hour at a "launch angle" of 25.0 degrees above horizontal, away from the batter. The ball has mass 0.145 kg, keeping with the Major League Baseball rulebook. Define "from the batter, towards the pitcher" as positive x, and "up" as positive y. (Note: we are assuming that the ball is hit in the direction of the pitcher, versus to the left or right; otherwise this becomes a 3-dimensional problem.)

A. What is the change in the x-component of the ball's linear momentum? Hint: in order to get the correct value, you must (1) split the initial and final velocities into x and y components, (2) convert miles per hour to meters per second, and (3) be careful about which velocities are negative (look at the definitions in the table above).
kg*m/s

B. What is the change in the y-component of the ball's linear momentum?
kg*m/s

C. What is the magnitude of the total change in the ball's linear momentum?
kg*m/s

Expert Solution

genius_generous answered 2 hours ago

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