A baseball slugger smacks a pitch and watches the ball float into the bleachers for a home run, landing h=6.5m higher than it was struck. When visiting with the fan that caught the ball, he learned the ball was moving with final velocity vf=31.5m/s at an angle θf=28∘ below the horizontal when caught. Assume the ball encountered no air resistance, and use a Cartesian coordinate system with the origin located at the ball's initial position. Part A: Create an expression for the ball’s initial horizontal velocity, V0,x, in terms of the variables given in the problem statement. Part B: Calculate the magnitude, in meters per second, of the vertical component of the ball’s initial velocity and the magnitude, in meters per second, of the ball’s initial velocity. Part C: Find the angle above the horizontal, in degrees, at which the ball left the bat.
A baseball slugger smacks a pitch and watches the ball float into the bleachers for a home run, landing h=6.5m higher than it was struck. When visiting with the fan that caught the ball, he learned the ball was moving with final velocity vf=31.5m/s at an angle θf=28∘ below the horizontal when caught. Assume the ball encountered no air resistance, and use a Cartesian coordinate system with the origin located at the ball's initial position.
Part A: Create an expression for the ball’s initial horizontal velocity, V0,x, in terms of the variables given in the problem statement.
Part B: Calculate the magnitude, in meters per second, of the vertical component of the ball’s initial velocity and the magnitude, in meters per second, of the ball’s initial velocity.
Part C: Find the angle above the horizontal, in degrees, at which the ball left the bat.
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