Calculating Time for Falling Crate in Projectile Motion

Click For Summary
SUMMARY

The discussion focuses on calculating the time it takes for a crate to fall from a cargo plane flying at an altitude of 10.1 km and a horizontal speed of 910 km/h. The participant correctly converts units to meters, establishing initial conditions with Yf = 0m, Yi = 10100m, and horizontal velocity Yxi = 252.78 m/s. The equations of motion used are Xf = Xi + Vxi*t and Yf = Yi + Vyi*t - 4.905(t)^2. The main challenge identified is determining the initial vertical velocity (Vyi), which is zero in this scenario.

PREREQUISITES
  • Understanding of projectile motion principles
  • Familiarity with kinematic equations
  • Ability to convert units (e.g., km/h to m/s)
  • Basic knowledge of gravitational acceleration (g = -9.81 m/s²)
NEXT STEPS
  • Study the derivation of kinematic equations for projectile motion
  • Learn how to apply initial conditions in physics problems
  • Explore the effects of air resistance on falling objects
  • Practice solving similar problems involving vertical and horizontal motion
USEFUL FOR

Students studying physics, educators teaching projectile motion, and anyone interested in understanding the dynamics of falling objects in a vacuum.

bringme2life
Messages
1
Reaction score
0
This is my first post here so please bear with me if I'm doing something wrong

Homework Statement



A cargo plane is flying horizontally at an altitude of 10.1 km with a speed of 910 km/h when a large crate falls out of the rear loading ramp. (Ignore any effects due to air resistance.) How long does it take the crate to hit the ground?

I converted everything to meters.

Yf = 0m
Yi = 10100m
Yxi = 252.78 m/s
g = -9.81 m/s

Homework Equations



Xf = Xi + Vxi*t
Yf = Yi + Vyi*t - 4.905(t)^2

The Attempt at a Solution



My problem is figuring out Vyi in this case so that I can plug it into my second equation to solve for time. Can anyone give me a push in the right direction?
 
Physics news on Phys.org
In the given problem vyi = 0.
 

Similar threads

Can I Assume Yi is 0m in Projectile Motion Calculations?
  • · Replies 4 ·
Replies
4
Views
2K
Projectile Motion Problem: Finding Velocity Direction at Impact
  • · Replies 2 ·
Replies
2
Views
2K
Need help solving a tricky projectile motion problem
  • · Replies 11 ·
Replies
11
Views
3K
Projectile Motion: Calculating Speed of Ball Thrown from Third Floor Window
  • · Replies 5 ·
Replies
5
Views
3K
Parabolic Projectile Motion problem.
  • · Replies 1 ·
Replies
1
Views
4K
Projectile Motion: time it takes for projectile to hit truck
  • · Replies 15 ·
Replies
15
Views
3K
Finding an initial speed (projectile motion)
  • · Replies 8 ·
Replies
8
Views
7K
What Is the Distance a Skier Lands From a Ramp?
  • · Replies 1 ·
Replies
1
Views
2K
Homework: Projectile Motion of a Skydiver with Wind Effect
  • · Replies 1 ·
Replies
1
Views
6K
Projectile Motion with Pulley System
  • · Replies 3 ·
Replies
3
Views
2K