Baseball and projectile motion problem

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SUMMARY

The discussion focuses on a projectile motion problem involving a baseball throw from a second baseman to a first baseman. The ball is thrown with an initial speed of 15.0 m/s at an angle of 33.0° above the horizontal, resulting in a horizontal component of 12.6 m/s. The key question is determining the total time the ball remains in the air, which can be calculated using kinematic equations for projectile motion while neglecting air resistance.

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  • Understanding of projectile motion principles
  • Familiarity with kinematic equations
  • Knowledge of trigonometric functions for resolving vectors
  • Ability to perform calculations involving time, velocity, and angle
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  • Calculate the time of flight for projectile motion using the formula: time = (2 * initial velocity * sin(angle)) / g
  • Explore the effects of air resistance on projectile motion
  • Learn about the range of projectile motion and how to calculate it
  • Investigate real-world applications of projectile motion in sports
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Students studying physics, educators teaching projectile motion concepts, and anyone interested in the mathematical modeling of sports dynamics.

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Homework Statement


A second baseman tosses the ball to the first baseman, who catches it at the same level from which it was thrown. The throw is made with an initial speed of 15.0 m/s at an angle of 33.0° above the horizontal. (Neglect air resistance.)
How long is the ball in the air?

Horizontal component=12.6 m/s


Homework Equations





The Attempt at a Solution

 
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A frequently occurring question of projectile motion. How have you tried solving it?
 

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