What is the Minimum Horizontal Velocity for a Safe Dive from a 61m High Cliff?

  • Thread starter Thread starter Larrytsai
  • Start date Start date
  • Tags Tags
    Ballistics
Click For Summary
SUMMARY

The minimum horizontal velocity required for a diver to safely clear the rocks while diving from a 61m high cliff in Acapulco is 6.52 m/s. This calculation is based on the horizontal distance of 23m that the rocks extend outward and the time of flight, which is determined to be 3.52 seconds. The vertical motion is analyzed using the equation of motion under gravity, confirming that the time taken to fall 61m is approximately 3.52 seconds. The calculations are verified as accurate and complete.

PREREQUISITES
  • Understanding of basic physics concepts such as projectile motion.
  • Familiarity with kinematic equations for motion under gravity.
  • Knowledge of horizontal and vertical velocity components.
  • Ability to perform algebraic manipulations to solve for unknowns.
NEXT STEPS
  • Study the principles of projectile motion in physics.
  • Learn about the effects of air resistance on diving trajectories.
  • Explore advanced kinematic equations and their applications.
  • Investigate safety measures and techniques for cliff diving.
USEFUL FOR

Athletes, physics students, and safety professionals interested in diving dynamics and the physics of high-altitude jumps will benefit from this discussion.

Larrytsai
Messages
222
Reaction score
0
Please just check my answer.

Divers at Acapulco dive from a cliff that is 61m high. If the rocks below the cliff extend outward for 23m, what is the minimum horizontal velocity a diver must have to clear the rocks safely?

x problem

x=Vx(t)
23=Vx(t)
23=Vx(3.52)
23/3.52=Vx
Answer is Vx=6.52m/s

Y problem

Vy=0m/s
t=?
d=-61m
a=-9.8m/s/s

d=1/2a(txt)+Vi(t)

-61=-4.9(txt)
-61/-4.9=txt
12.44=txt
square root 12.44=txt Answer for Time is 3.52 Seconds
 
Physics news on Phys.org
All correct.
 

Similar threads

Minimum Speed for a Horizontally Projected Diver to Clear a Ledge
  • · Replies 7 ·
Replies
7
Views
2K
Rock is being thrown horizontally off a cliff (2d motion)
  • · Replies 9 ·
Replies
9
Views
3K
What is the height of the cliff?
  • · Replies 1 ·
Replies
1
Views
5K
Solve Work-Energy Problem for Girl Cliff Diving
  • · Replies 1 ·
Replies
1
Views
1K
Rock falls from cliff-Initial Velocity?
  • · Replies 3 ·
Replies
3
Views
2K
Projectile Motion - A ball launched from a cliff
  • · Replies 2 ·
Replies
2
Views
3K
Rock thrown from cliff, find initial and final velocities
  • · Replies 3 ·
Replies
3
Views
3K
4 home work problems over projectile motion
  • · Replies 6 ·
Replies
6
Views
4K
What Push Off Speed is Necessary for Divers to Safely Land 5m from a Cliff?
  • · Replies 6 ·
Replies
6
Views
2K
What is the angle of a falling object's velocity after 2 seconds?
  • · Replies 5 ·
Replies
5
Views
8K