Acceleration and free fall problem

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SUMMARY

Rachel drops from a height of 5 meters, and the problem requires calculating the time taken to hit the water and the velocity upon impact. Using the kinematic equations for free fall, it is established that Rachel takes 1.10 seconds to reach the surface of the water. Her velocity at impact is calculated to be -9.9 m/s, indicating downward motion due to gravitational acceleration of -9.8 m/s².

PREREQUISITES
  • Understanding of kinematic equations in physics
  • Knowledge of free fall and gravitational acceleration
  • Ability to interpret and create motion graphs (x vs. t, v vs. t, a vs. t)
  • Basic algebra for solving equations
NEXT STEPS
  • Review kinematic equations for uniformly accelerated motion
  • Explore the concept of free fall and its implications in physics
  • Learn how to derive velocity and time from displacement in free fall scenarios
  • Practice solving similar problems involving vertical motion and acceleration due to gravity
USEFUL FOR

Students studying physics, particularly those focusing on kinematics and free fall, as well as educators looking for examples to illustrate these concepts.

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Homework Statement


Rachel drops straight off a high dive whose board is 5 meters above the surface of the water. How long does it take Rachel to hit the surface of the water? How fast is Rachel traveling when she hits the surface of the water?


Homework Equations





The Attempt at a Solution


I made an x vs. t graph, a v vs. t graph, and an a vs. t graph.
My variable list is as follows:

x at time 0(initial location)=5m
x(location) at end time=0m
initial velocity= is unknown
Velocity at end=0m/s
time=is unknown
acceleration=-9.8m/s^2 (which is free fall)
 
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The graphs, although conceptual, do little to help you get into the meat of the equations. Review your core kinematics equations, and choose which ones contain the variables you need to solve for.

Also, her initial velocity is zero (she starts from rest, and drops straight down). Her velocity the moment before she hits the water is the one you want to solve for.
 
Would my answers to these questions for this problem be correct:
How long does it take Rachel to hit the surface of the water?
1.10 sec

How fast is Rachel traveling when she hits the surface of the water?
-9.9m/s
 

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