A plane flying at 70.0 m/s suddenly stalls. If the acceleration during the stall is 9.8 m/s² directly downward, the stall lasts 5.0 s, and the plane was originally climbing at 25° to the horizontal, what is the velocity after the stall? A) 66 m/s at 17° below the horizontal B) 66 m/s at 17° above the horizontal C) 80 m/s at 37° below the horizontal D) 80 m/s at 37° above the horizontal

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Quizplus · Accepted Answer

The plane's initial velocity has a horizontal component of 70.0 m/s * cos 25° = 63.6 m/s and a vertical component of 70.0 m/s * sin 25° = 29.9 m/s. During the stall, the horizontal component of velocity remains constant, while the vertical component changes by -9.8 m/s^2 * 5.0 s = -49.0 m/s. Therefore, the final velocity has a horizontal component of 63.6 m/s and a vertical component of -19.1 m/s. The magnitude of the final velocity is sqrt(63.6^2 + (-19.1)^2) = 66.0 m/s, and the angle below the horizontal is arctan(-19.1/63.6) = 17°.

A Plane Flying at 70