Object falling down and object falling up

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SUMMARY

The discussion centers on the physics problem involving two objects: Object A, falling at a terminal velocity of 20 m/s from a height of 1000 m, and Object B, which is launched downward at an initial velocity of 125 m/s. Calculations reveal that Object A takes approximately 12.385 seconds to reach the ground, while Object B takes about 6.396 seconds to hit the ground, indicating that they do not collide. The key takeaway is that Object B cannot reach a height of 1000 m due to its downward trajectory and the time it takes to fall.

PREREQUISITES
  • Understanding of kinematic equations, specifically X = Xo + Vo(t) + 1/2AT^2
  • Knowledge of terminal velocity and its implications on motion
  • Familiarity with gravitational acceleration, specifically G = 9.8 m/s²
  • Basic principles of free fall and projectile motion
NEXT STEPS
  • Study the effects of terminal velocity on falling objects
  • Learn about kinematic equations in-depth, especially in varying conditions
  • Explore the concept of acceleration in free fall versus terminal velocity
  • Investigate the implications of air resistance on falling objects
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This discussion is beneficial for physics students, educators, and anyone interested in understanding the dynamics of falling objects and the principles of motion under gravity.

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Homework Statement


A object A falling down at terminal velocity of 20 m/s, at 1000m above the ground another object B fly at it at an initial velocity of 125 m/s.

a) how much time before object A hits object B?


Homework Equations



X = Xo + Vo(t) + 1/2AT^2

G = 9.8 m/s^2

The Attempt at a Solution



using the equation i found it takes object A 12.385 second to fall down from 1000
m while object B 6.321 second to reach 1000 m

but I am not sure how i can find out when they will hit each other.
 
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Suppose they meet at a height x from the ground. Then the distance moved by A is 1000 - x and distance move by B is x. A is moving with uniform velocity where as B is moving with the acceleration. When they meet, they must have taken the same time. So write two equations and solve for x.
 
Does an object falling at terminal velocity accelerate? Why not?

So, you time for object A is incorrect.

Object B will not reach a height of 1000 m.

An object launched downward at 125 m/s from a 1000 m altitude, will reach the ground in 6.396 s, ignoring air resistance.
 
Last edited:

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