What is the vertical component of the initial velocity for the projectile launched at 30 degrees with speed 20 m/s?

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Multiple Choice

What is the vertical component of the initial velocity for the projectile launched at 30 degrees with speed 20 m/s?

Explanation:
Decomposing the initial velocity into vertical and horizontal parts using trigonometry is what this question tests. The vertical component is found by multiplying the speed by the sine of the launch angle: v0_y = v0 sin(theta). With a speed of 20 m/s and a launch angle of 30°, sin 30° = 1/2, so v0_y = 20 × 1/2 = 10 m/s upward. So the initial vertical speed is about 10 m/s. Other options would require different sine values (for example, 5 m/s would need sin 30° = 0.25, or 20 m/s would mean no tilt), which isn’t the case here.

Decomposing the initial velocity into vertical and horizontal parts using trigonometry is what this question tests. The vertical component is found by multiplying the speed by the sine of the launch angle: v0_y = v0 sin(theta). With a speed of 20 m/s and a launch angle of 30°, sin 30° = 1/2, so v0_y = 20 × 1/2 = 10 m/s upward. So the initial vertical speed is about 10 m/s. Other options would require different sine values (for example, 5 m/s would need sin 30° = 0.25, or 20 m/s would mean no tilt), which isn’t the case here.

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