Question

7.) You are completely obsessed with a particular mountain in Wyoming. So much so, you even sculpt it in your mashed potatoes. It turns out an alien ship is going to land near there, and they want to meet you! After playing a musical light show in the sky, the UFO begins to descend. It travels downward at a constant 29.1 m/s. On the way down, the ship launches a care package out of the front door. The package leaves the ship with an initial velocity of 18.2 m/s perpendicular to the path of the descending UFO, as measured by someone on the ship. The package hits the ground 19.5 s later.

a. How high was the ship when the package was launched?

b. How high is the ship when the package hits the ground?

c. Just as the package hits, how far is it from the ship’s landing spot on the ground?

d. Just at the package hits, what is its total velocity with respect to the ground

Answer 1

from the given data,

voy = 29.1 m/s
vox = 18.2 m/s
t = 19.5 s

a) The hight of the ship when the package was launched,

h = voy*t + (1/2)*g*t^2

= 29.1*19.5 + (1/2)*9.8*19.5^2

= 2431 m v

b) height of the ship = h - vo*t

= 2431 - 29.1*19.5

= 1864 m <<<<<<<<<<------------Answer

c) x = vox*t

= 18.2*19.5

= 355 m <<<<<<<<<<------------Answer

d) vx = vox

= 18.2 m/s

vy = voy + g*t

= 29.1 + 9.8*19.5

= 220.2 m/s

so, final velocity, v = sqrt(vx^2 +vy^2)

= sqrt(18.2^2 + 220.2^2)

221 m/s <<<<<<<<<<------------Answer