Vertical Motion Homework Problem

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SUMMARY

The discussion focuses on a vertical motion problem involving a rock thrown upward from a cliff, reaching a maximum height of 18.6 meters before landing after 6.60 seconds. The relevant equations include Vyf = Vyo + at, Y = Yo + 1/2(Vyo + Vyf)t, and Vyf² = Vyo² + 2a(y - yo). The user initially struggled with determining the initial speed and the reference point for height but later resolved the issue by applying graphical analysis of velocity versus time.

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Knowledge of vertical motion concepts
  • Familiarity with the effects of gravity on projectile motion
  • Ability to interpret velocity-time graphs
NEXT STEPS
  • Study the derivation and application of kinematic equations for vertical motion
  • Learn how to analyze projectile motion using graphical methods
  • Explore the concept of maximum height in projectile motion
  • Investigate the effects of varying initial velocities on projectile trajectories
USEFUL FOR

This discussion is beneficial for physics students, educators teaching kinematics, and anyone interested in understanding vertical motion and projectile dynamics.

rg3po
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Homework Statement


A rock is thrown vertically upward from the edge of a cliff. The rock reaches a maximum height of 18.6 m above the top of the cliff before falling to the base of the cliff, landing 6.60 s after it was thrown. How high is the cliff? Assume gravity= 9.8m/s2

Homework Equations


Vyf=Vyo + at
Y=Yo + 1/2(Vyo+Vyf)t
Y=Yo + Vyot + 1/2at2
Vyf2=Vyo2+ 2a(y-yo)

The Attempt at a Solution


I don't know where to start. I must figure out initial speed and the difference between the cliff and the max height. Is the initial position 0 at the height of the cliff or at the max height? Do I care that when the ball reaches the max height the speed is 0?EDIT:Figured it out, I had the dumb for few minutes
 
Last edited:
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Solve it graphically, velocity vs. time.
 

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