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Answer :
Final answer:
To calculate the vertical component of the rocket's velocity, use the formula involving the initial velocity and the sine of the launch angle, resulting in approximately 44.08 m/s.
Explanation:
The vertical component of velocity refers to the rate of change of an object's position in the vertical direction, typically measured in meters per second (m/s) or feet per second (ft/s). In physics and mechanics, when considering motion in two or three dimensions, velocity is often broken down into its horizontal (or lateral) and vertical components.
To find the vertical component of the rocket's velocity, we use the formula v = v_0 × sin(θ), where v is the vertical velocity, v_0 is the initial velocity, and θ is the angle of launch. In this case, the rocket is launched at a speed of 75 m/s at an angle of 36° from the ground. Using the sine function for the angle, we calculate the vertical component as follows: v = 75 m/s × sin(36°).
Using a calculator, we find that sin(36°) ≈ 0.5878. Therefore, the vertical component of the velocity is approximately 44.08 m/s.
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