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A projectile is launched at 20m/s at a 30 degree angle with the horizontal. What

is its vertical initial velocity?

User ShemTov
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Final answer:

The vertical initial velocity of a projectile launched at a 20 m/s speed at a 30-degree angle to the horizontal is 10 m/s.

Step-by-step explanation:

The question you've asked pertains to projectile motion, specifically the vertical initial velocity of a projectile that is launched at an angle with the horizontal. When a projectile is launched with an initial speed of 20 m/s at a 30-degree angle, the initial velocity can be broken down into horizontal and vertical components. The vertical initial velocity (voy) is found by using the sine function since it represents the opposite side in relation to the angle in a right triangle formed by the velocity components. Therefore, to find the vertical initial velocity, we use the following equation:

voy = vo × sin(θ)

Substituting the known values gives us:

voy = 20 m/s × sin(30°) = 10 m/s.

So, the vertical initial velocity of the projectile is 10 meters per second.

User Ulises
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