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A cargo plane is flying horizontally at an altitude of 10.1 km with a speed of 8

ID: 2191245 • Letter: A

Question

A cargo plane is flying horizontally at an altitude of 10.1 km with a speed of 850 km/h when a large crate falls out of the rear loading ramp. (Ignore any effects due to resistance.) How long does it take the crate to hit the ground? How far horizontally is the crate from the point where it fell off when it hits the ground? How far is the crate from the aircraft when the crate hits the ground, assuming that the plane continues to fly with the same velocity? Sketch the situation. The horizontal speed of the crate, in the absence of air resistance, is constant and equal to the speed of the cargo plane. Choose a coordinate system in which the direction the plane is moving is the positive x direction and downward is the positive y direction and apply the constant-acceleration equations to describe the crate's displacements at any time during its flight.

Explanation / Answer

In fact the crate is 0 km from the plane. Without air resistance, the crate will continue to move at 850 km/hr with the plane.

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