A shiny new sports car sits in a parking lot of a car dealership. above is a cargo plane, flying horizontally at 46 m/s. at the exact moment the plane is 110 m directly above the car, a heavy crate accidentally falls from its cargo doors. relative to the car, where will the crate hit?

Question

Mercer

Physics

23 August, 00:19

A shiny new sports car sits in a parking lot of a car dealership. above is a cargo plane, flying horizontally at 46 m/s. at the exact moment the plane is 110 m directly above the car, a heavy crate accidentally falls from its cargo doors. relative to the car, where will the crate hit?

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Answers (1)

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Ingrid Acosta · Answer 1

First calculate the time it would take for the crate to fall using the formula:

h = v0 t + 0.5 g t^2

110 m = 0 + 0.5 (9.8 m/s^2) t^2

t = 4.74 s

The crate is also moving at 46 m/s on with respect to the horizontal surface, therefore distance covered is:

d = (46 m/s) * 4.74 s

d = 217.95 m

The crate would fall 217.95 m from the tail of the car.