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A $5.00\text{ kg}$ drone is momentarily stationary $50.0\text{ m}$ above a level parking lot. Its orientation produces an upward thrust of $52.0\text{ N}$ at an angle of $30.0\text{ degrees}$ to the left of the vertical as shown below.

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Assuming the thrust and orientation remains constant, and ignoring air resistance, how long will it take (in seconds) for the drone to touch the parking lot?


$3.19\text{ seconds}$


$4.67\text{ seconds}$


$11.2\text{ seconds}$


Because the thrust ($52.0\text{ N}$) is more than the weight of the drone ($49.0\text{ N}$), the drone would not touch the parking lot as long as the conditions remained as stated.

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