Free fall problem with an extra variable

Click For Summary
SUMMARY

The problem involves a rock dropped from a hot air balloon rising at a constant speed of 3 m/s, with an initial height of 50 m above the water. The rock's initial velocity is 3 m/s upward, and the acceleration due to gravity is 10 m/s². To determine the time until the rock splashes into the water, one must apply kinematic equations for projectile motion, considering both the initial upward velocity and the downward acceleration due to gravity.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Knowledge of projectile motion concepts
  • Familiarity with gravitational acceleration (g = 10 m/s²)
  • Ability to solve quadratic equations
NEXT STEPS
  • Study kinematic equations for projectile motion
  • Learn how to derive time of flight for objects with initial velocity
  • Explore the effects of initial velocity on free fall
  • Practice solving similar physics problems involving multiple variables
USEFUL FOR

Students studying physics, educators teaching kinematics, and anyone interested in understanding projectile motion dynamics.

mwhowell
Messages
17
Reaction score
0

Homework Statement



Jane is riding in a hot air balloon that is rising vertically at a constant speed of
3m/s over a lake. She reaches out and drops a rock from the balloon when the
distance from the rock to the water is 50m. Use g=10m/s2, and let the up
direction be positive.
How long after Jane drops the rock will it splash into the water?

Homework Equations





The Attempt at a Solution



I know how to do this problem but I was wondering if the fact that Jane is traveling upwards has an effect on the free fall of the rock.
 
Physics news on Phys.org
It just means the rock has an initial velocity of 3m/s upward. It's really a projectile problem. It's the same thing as standing on a platform 50m above the ground and throwing the rock straight up.
 

Similar threads

How can I calculate the depth of a well using free fall and distance equations?
  • · Replies 3 ·
Replies
3
Views
2K
Help with a confusing free-fall motion physics problem?
  • · Replies 1 ·
Replies
1
Views
2K
Rock falls from cliff-Initial Velocity?
  • · Replies 3 ·
Replies
3
Views
2K
Balloon and Ballast: Find Max Height of Dropped Ballast
  • · Replies 6 ·
Replies
6
Views
2K
Calculating Initial Velocity of a Thrown Object Using Free-fall Equations
  • · Replies 23 ·
Replies
23
Views
4K
Undergrad Free fall of person in a sled to direct horizontal motion by atmospheric resistance
  • · Replies 12 ·
Replies
12
Views
1K
Time to Hit the Ground for Thrown Rock?
  • · Replies 5 ·
Replies
5
Views
4K
Problem on a liquid drop free fall
  • · Replies 6 ·
Replies
6
Views
2K
10kg Block free falls from 500ft to 2ft into the ground.
  • · Replies 6 ·
Replies
6
Views
2K
Sandy Hill Plunge: A Lifted Bronco's Free-Fall
  • · Replies 20 ·
Replies
20
Views
3K