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Answer :
Final answer:
The maximum height reached by the projectile is calculated using the vertical component of the initial velocity and the acceleration due to gravity, with the formula H = Vy^2 / (2g).
Explanation:
To determine the maximum height reached by the projectile, we use the vertical component of the initial velocity and the acceleration due to gravity. The initial velocity can be broken down into horizontal and vertical components using the angle of launch. The vertical component (Vy) is given by Vy = V * sin(θ), where V is the initial velocity and θ is the launch angle.
The formula to find the maximum height (H) is H = Vy^2 / (2g), where g is the acceleration due to gravity (9.8 m/s^2). Plugging in the values: Vy = 37.6 m/s * sin(43.6°). Calculate Vy, then use it in the formula to find the maximum height H.
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