An object is thrown in the air with an initial velocity Vi and making an angle θ with the surface of the earth. The vertical component of its velocity after time t is given by:
Correct answer: C. Vi sin θ - gt
- A. Vi cos θ
- B. Vi cos θ - gt
- C. Vi sin θ - gt
- D. Vi tan θ - gt
Explanation
When an object is thrown in the air with an initial velocity Vi at an angle θ, it can be broken down into horizontal (Vi cos θ) and vertical (Vi sin θ) components. The vertical component is affected by gravity (gt) in the downward direction, causing it to decrease over time. Therefore, the correct representation of the vertical component of velocity after time t is Vi sin θ - gt. Options A, B, and D do not accurately represent the vertical velocity component in this context.
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