That ball is gone! (part 2)

Classical Mechanics Level pending

(Assume a value for g of precisely 10 \(m/s^2\) downwards.)

"Heywood swings and crushes one towards South America! Tomlinson's gonna need a visa to catch that one. It is out of here and there ain't nothing left but a vapor trail! Vaughn continues to have problems with Heywood and the Yankees."

If the exit angle is 30 degrees (line drive) and the exit velocity is 1,000 \(m/s\), which is necessary to leave a vapor trail, what is the ball's maximum height in m, measured from a starting height of zero?

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