Calculating the Intersection of Two Stones Dropped from a Cliff

Click For Summary
SUMMARY

The discussion focuses on calculating the intersection point of two stones: one dropped from a height of 256 feet and another projected upwards at 96 ft/s. The relevant equations of motion are provided, including v1 = u1 + at and s1 = u1t + 1/2at^2. The key insight is that the distance traveled by the stone thrown upwards can be expressed as 256 - s, where s is the distance traveled by the dropped stone. The next step involves setting the equations for the two stones equal to find the time and position of intersection.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Familiarity with concepts of free fall and projectile motion
  • Basic algebra for solving equations
  • Knowledge of initial velocity and acceleration
NEXT STEPS
  • Study the derivation of kinematic equations for free-falling objects
  • Learn how to apply the equations of motion to solve for time and distance
  • Explore problems involving simultaneous motion of objects
  • Investigate the effects of different initial velocities on intersection points
USEFUL FOR

Students studying physics, educators teaching kinematics, and anyone interested in solving motion-related problems in a practical context.

John O' Meara
Messages
325
Reaction score
0
A stone is droped from the top of a cliff of height 256 feet, and, at the same instant, another stone is projected vertically upwards from the ground with a speed of 96 ft/s. Find where they will meet?
I have the following:
v1=u1+at, v2=u2+at, s1=u1t+1/2at^2, s2=u2+1/2at^2,
I also have: v1^2=u1^2+2as1 and V2^2=u2^2+2as2
The question is what do I do next, please?
 
Physics news on Phys.org
You have the inital velocity and acceleration of both. You also know that the distance the stone thrown upwards from the ground has traveled when they meet is [itex]256-s[/itex] where [itex]s[/itex] is the distance traveled by the dropped stone.
 

Similar threads

  • · Replies 10 ·
Replies
10
Views
1K
Replies
1
Views
2K
  • · Replies 8 ·
Replies
8
Views
6K
  • · Replies 5 ·
Replies
5
Views
3K
Replies
5
Views
3K
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
5K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 5 ·
Replies
5
Views
6K