Solve Elevated Golf Ball Launch Velocity: Vy Expression

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SUMMARY

The discussion focuses on deriving the algebraic expression for the y component of a golf ball's velocity (Vy) just before it lands on an elevated green. The ball is launched at a speed of 16.0 m/s and an angle of 40.0° above the horizontal, with a vertical displacement of 2.0 m. Utilizing kinematic equations, the expression for Vy is determined by incorporating the initial launch speed (v_0), launch angle (θ), vertical acceleration (a_y), and vertical displacement (y). The final expression is derived as Vy = v_0 * sin(θ) + 2 * a_y * y.

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A golfer hits a shot to a green that is elevated 2.0 m above the point where the ball is struck. The ball leaves the club at a speed of 16.0 m/s at an angle of 40.0° above the horizontal, which is the +x axis. It rises in the +y direction to its maximum height and then falls down to the green. Ignore air resistance.

What is the algebraic expression for the y component Vy of a ball's velocity just before landing on the green? Express your answer in terms of the initial launch speed v0, the launch angle above the horizontal, the acceleration ay in the vertical direction, and the vertical displacement y. (Use v_0 for v0, theta for , a_y for ay, and y as necessary.)
Vy=?
i just need expression
 
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