When Will the Package Hit the Ground?

In summary, the problem at hand involves finding the time it takes for a package to hit the ground when dropped from a hot-air balloon ascending at a rate of 10 m/s at a height of 84 m above the ground. The equation Yf = Vot + (1/2)at^2 is initially considered, with known variables of a=-9.8 m/s^2, Vo = 10m/s, and Yf=84m. However, to solve for time, the quadratic equation must be used, as t is a function of velocity and position. The overall approach to the problem is correct, with the only difficulty being with algebra.
  • #1
ATranPV
8
0

Homework Statement


A hot-air balloon is ascending at the rate of 10 m/s at a height of 84 m above the ground when a package is dropped.

Find time it took to hit the ground

Find Final velocity

Homework Equations


The Attempt at a Solution



Initially, I am inclined to use the equation Yf = Vot + (1/2)at^2

I know that a=-9.8 m/s^2
Vo = 10m/s
Yf=84m

With four variables and 3 are known, I can find time.

The part I am having trouble with is setting up the equation where time is a function of velocty and position (where as t=something)

Am I even approaching this problem correctly? Any help will be much appreciated.
ATranPV

EDIT: Yes...my algebra sucks...:(
 
Last edited:
Physics news on Phys.org
  • #2
Hint: To solve for t, use the quadratic eaquation.
 

What is kinematics one vector problem?

Kinematics one vector problem is a type of physics problem that involves the analysis of the motion of an object in one dimension, using only one vector to represent the motion.

What are the basic principles of kinematics one vector problem?

The basic principles of kinematics one vector problem include displacement, velocity, and acceleration. Displacement is the change in position of an object, velocity is the rate of change of displacement, and acceleration is the rate of change of velocity.

How do I solve a kinematics one vector problem?

To solve a kinematics one vector problem, you need to first identify the known values, such as initial and final positions, and use the basic principles of kinematics to find the missing values. This can be done using equations such as v = u + at (where v is final velocity, u is initial velocity, a is acceleration, and t is time) or s = ut + 1/2at^2 (where s is displacement).

What are some common examples of kinematics one vector problems?

Some common examples of kinematics one vector problems include calculating the distance traveled by a car in a specific amount of time, finding the speed of a ball rolling down a ramp, or determining the acceleration of an object falling from a certain height.

What are the applications of kinematics one vector problem in real life?

Kinematics one vector problems have many applications in real life, including in sports (such as calculating the trajectory of a basketball shot), transportation (such as designing efficient routes for delivery trucks), and engineering (such as designing roller coasters or analyzing the movement of robots).

Similar threads

How high was the package above the ground when it was thrown
    • Introductory Physics Homework Help
Replies
4
Views
1K
Free fall kinematics problem
    • Introductory Physics Homework Help
Replies
22
Views
385
Free fall velocity and distance
    • Introductory Physics Homework Help
Replies
34
Views
3K
Find the Height of a Building by dropping a ball from the top
    • Introductory Physics Homework Help
Replies
7
Views
2K
Find the initial velocity of the package relative to the ground
    • Introductory Physics Homework Help
Replies
18
Views
2K
Conservation of momentum (wrecking ball hits a stationary object)
    • Introductory Physics Homework Help
Replies
10
Views
2K
Solving for Time to Reach Ground: Calculating Velocity of Sound over 50m
    • Introductory Physics Homework Help
Replies
2
Views
870
What is the maximum stretch of the bungee and will the mass hit the ground?
    • Introductory Physics Homework Help
Replies
12
Views
1K
Finding the x component of position vector
    • Introductory Physics Homework Help
Replies
3
Views
168
Solving for Angle to Destroy Rocket Launcher
    • Introductory Physics Homework Help
Replies
8
Views
2K

Hot Threads

Recent Insights

Back
Top