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Archery An arrow is shot at 30.0° above the horizontal.

Its velocity is 49 m/s, and it hits the What is the maximum height the arrow
will attain?

1 Answer

6 votes

Final answer:

To find the maximum height the arrow will attain, we use the equations of projectile motion and find that it is approximately 30.1 meters.

Step-by-step explanation:

To find the maximum height the arrow will attain, we need to use the equations of projectile motion.

The arrow is shot at an angle of 30.0° above the horizontal, with a velocity of 49 m/s.

First, we need to find the vertical component of the velocity by using the sine of the angle: 49 m/s * sin(30.0°) = 24.5 m/s

The maximum height can be found using the equation: h = (v² * sin² (θ)) / (2 * g)

Substituting the values, we have: h = (24.5² * sin² (30.0°)) / (2 * 9.8) ≈ 30.1 m

Therefore, the maximum height the arrow will attain is approximately 30.1 meters.

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