A certain airplane, driving with constant horizontal speed,releases a package at

Question

A certain airplane, driving with constant horizontal speed,releases a package at an altitude of 900 m. Thepackage hits the ground 4 s after release, = 30.
a) What is the sped of the plane? b) How far does the package travel horizontally during itsflight? c) What are the horizontal and vertical components of itsvelocity just before striking the ground?

a) What is the sped of the plane? b) How far does the package travel horizontally during itsflight? c) What are the horizontal and vertical components of itsvelocity just before striking the ground?

Explanation / Answer

The horizontal range it traveled can be written as    x = htan = 900 * tan 30 = 519.61 m (a) We know that x = vo cos *t    ==> vo = x / t * cos =519.61 / 4 * cos30 = 150 m/s (b) x = 519.61 m (c) horizontal velocity Vx =vo cos(0) = 150 m/s Vertical velocity Vy =vo sin(0) - gt       = 0 - 9.8 * 4       = - 39.2 m/s

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