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Answer :
Final answer:
To find the angle at which the projectile was fired above the horizontal, you can use the formula for range of a projectile.
Explanation:
To find the angle above the horizontal at which the projectile was fired, we can use the formula for the range of a projectile. The range is the horizontal distance traveled by the projectile before hitting the ground. In this case, the initial speed is 36.6 m/s. Assuming no air resistance, the range is given by the formula:
R = (v2 * sin(2θ)) / g
Where R is the range, v is the initial speed, θ is the angle above the horizontal, and g is the acceleration due to gravity (approximately 9.8 m/s²).
Given the initial speed of 36.6 m/s, we can rearrange the formula to solve for θ:
θ = arcsin((R * g) / v2) / 2
Plug in the known values to find the angle θ.
Learn more about projectile motion here:
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