Register to reply 
Projectile Motion problem with Plane dropping package 
Share this thread: 
#1
Feb1012, 12:25 AM

P: 1

1. The problem statement, all variables and given/known data
An airplane with a speed of 45.2 m/s is climbing upward at an angle of 40° with respect to the horizontal. When the plane's altitude is 540 m, the pilot releases a package. (a) Calculate the distance along the ground, measured from a point directly beneath the point of release, to where the package hits the earth. (b) Relative to the ground determine the angle of the velocity vector of the package just before impact. (clockwise from the positive x axis) We know the initial velocity for the X and Y components, the height at which the plane drops the package and the angle at which the plane is ascending in respect to the horizontal. 2. Relevant equations Delta Y = 1/2(a)t^2 V= Vi + at X = Vt 3. The attempt at a solution I found the total time it would take for the package to hit the ground from the time that it was released to be Sqrt(Y/g) = Sqrt(540/9.8) = 10.5 seconds. But, the package has an initial velocity in the Y direction so I thought to use the Y velocity component (45.2sin40) divided by the acceleration to find the additional time that the entire flight would take because right after the plane releases the package, the package travels a certain distance upwards due to the velocity, and then proceeds to travel in the downward direction. I understand that concept, but after that, I have no idea where to go form here. PLEASE HELP!! I have my College Physics Midterm due by Sunday Night! This is one of the practice problems and I don't understand this concept and I just KNOW my teacher, there will be one of these on the midterm. Thank you everyone :) 


#2
Feb1012, 01:39 AM

P: 92

Welcome to PF.
Have you heard of the 4 constant acceleration questions? As this is freefall, acceleration (g) is constant, therefore that's the route I'd go down. 


#3
Feb1012, 06:13 AM

HW Helper
Thanks
P: 5,477

so why not use that? 


Register to reply 
Related Discussions  
Projectile Motion on a Inclined Plane Problem  Introductory Physics Homework  1  
Projectile Motion, package has to land on a moving ship after being droped from plane  Introductory Physics Homework  14  
Plane drops package; superman on ground flys at angle then horizontal to meet package  Introductory Physics Homework  1  
Motion in a Plane (Graphing Projectile Motion)  Introductory Physics Homework  4  
Projectile Motion/Dropping an object from the sky  Introductory Physics Homework  8 