Question

An airplane flies horizontally with a constant speed of 155.0 m/s at an unknown altitude. A package is released out of the airplane and takes 14.43 s to hit the ground. Ignore air resistance. The magnitude of the gravitational acceleration is 9.8 m/s2. Choose the RIGHT as positive x-direction. Choose UPWARD as positive y-direction Be careful, partial credit can't be given within each calculation. (a) What is the initial altitude (in meters) of the airplane (and the package) when the package is released

Answer 1

y₀ = 1020.3 m

Step-by-step explanation:

This is a projectile launching exercise, in this case as the package is released its initial vertical velocity is zero.

y = y₀ +
`v_(oy)` t - ½ g t²

when it reaches the ground its height is zero

0 = y₀ + 0 - ½ g t²

y₀ = ½ g t²

let's calculate

y₀ = ½ 9.8 14.43²

y₀ = 1020.3 m