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Answer :
Final answer:
The maximum height reached by the projectile, considering its initial speed and projection angle, and ignoring air resistance, is approximately 31.5 meters.
Explanation:
To determine the maximum height reached by a projectile, we need to consider the vertical motion of the projectile. The initial vertical velocity of our projectile can be calculated using the given initial speed and projection angle: initial vertical velocity = initial speed * sin(projection angle), which gives us approximately 24.8 m/s. The maximum height can then be found using the equation for the height of an object in free fall: height = initial vertical velocity^2 / (2 * gravity), ignoring the impact of air resistance. By substitifying the values, the maximum height equals to approximately 31.5 meters.
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