A cargo plane in flight lost a package because somebody forgot to close the rear

Question

A cargo plane in flight lost a package because somebody forgot to close the rear cargo doors. You are on the team of safety experts trying to analyze what happened. From the point of takeoff, while climbing to altitude, the airplane traveled in a straight line and at a constant speed of 297 mi/h at an angle of 39° above the horizontal. During the ascent, the package slid off the back ramp. You found the package in a field a distance of 7.1 km from the takeoff point. To complete the investigation you need to know exactly how long after takeoff the package slid off the back ramp of the plane. (Consider the sliding speed to be negligible.) Calculate the time at which the package fell off the back ramp. (Ignore any effects due to air resistance.)

Explanation / Answer

V = 297 mph at an angle of 39° Vx = 297*cos39 = 230.81 mph 230.81 mph x 1.609 = 371.38 km/h V = d/t t = d/Vx t = 7.1 / 371.38 = 0.0191 hrs 0.0191*60 = 1.1471 mins

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