A 4.5-kg object is dropped vertically (with zero horizontal speed) from a tall building with an initial velocity 6.6 m/s (positive is downwards). Due to aerodynamic drag, the object's downward acceleration is given by a = g -(k/m)"v2 where g is acceleration due to gravity (use 9.81 m/s²) and k - 0.19 kg/m is a coefficient related to aerodynamic drag. Determine the distance the object will fll to reach 90% of its terminal velocity. Assume the building is tall enough so that the object can reach that speed and that g is constant. Hints: • First, calculate the object's terminal velocity. This occurs when the acceleration of the object is zero. Stdx = In|æ| + c and fe = In|f(æ)|+ c f (2) (2) Give your answer in metres and round the final answer to two decimal places.
A 4.5-kg object is dropped vertically (with zero horizontal speed) from a tall building with an initial velocity 6.6 m/s (positive is downwards). Due to aerodynamic drag, the object's downward acceleration is given by a = g -(k/m)"v2 where g is acceleration due to gravity (use 9.81 m/s²) and k - 0.19 kg/m is a coefficient related to aerodynamic drag. Determine the distance the object will fll to reach 90% of its terminal velocity. Assume the building is tall enough so that the object can reach that speed and that g is constant. Hints: • First, calculate the object's terminal velocity. This occurs when the acceleration of the object is zero. Stdx = In|æ| + c and fe = In|f(æ)|+ c f (2) (2) Give your answer in metres and round the final answer to two decimal places.
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