1 dimentional kinematics problem. due in 5 hours

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SUMMARY

The discussion centers on a one-dimensional kinematics problem involving an elevator moving upward at a constant speed of 7.1 m/s, from which a bolt falls. The height of the elevator when the bolt came loose is calculated using the formula x = vt, yielding a height of 25.56 meters. The speed of the bolt upon hitting the bottom of the shaft is determined by applying the acceleration due to gravity (9.8 m/s²) over the time of fall (3.6 s), resulting in a final speed of 36.08 m/s. The key takeaway is that the elevator's constant velocity implies zero acceleration, simplifying the calculations.

PREREQUISITES
  • Understanding of kinematic equations: v = v0 + at, (x - x0) = v0t + 0.5at², V² = V0² - 2a(x - x0)
  • Basic knowledge of constant velocity and acceleration concepts
  • Familiarity with gravitational acceleration (9.8 m/s²)
  • Ability to perform algebraic manipulations for solving equations
NEXT STEPS
  • Study the implications of constant velocity on kinematic equations
  • Learn more about free fall and its relationship with gravitational acceleration
  • Explore real-world applications of kinematics in engineering scenarios
  • Practice solving similar kinematics problems with varying initial conditions
USEFUL FOR

Students studying physics, particularly those focusing on kinematics, as well as educators seeking to clarify concepts related to motion and acceleration in real-world contexts.

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Homework Statement


A bolt comes loose from underneath an elevator that is moving upward at a speed of 7.1 m/s. The bolt reaches the bottom of the elevator shaft in 3.6 s.
(a) How high up was the elevator when the bolt came loose?


(b) What is the speed of the bolt when it hits the bottom of the shaft?


Homework Equations


v=v0+ at
(x-x0)=volt+.5at^2
V^2=V0^2 -2a(x-x0)


The Attempt at a Solution



Im confused as if the acceleration of the elevator is constant or not, i can't seem to find it
 
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The elevator is not accelerating, it only has a velocity.
You can find the height of the elevator using the equation for velocity: v=x/t.
You are trying to find x; you have t and v.
What do you have to do to find x?

To find the speed of the bolt when it hits the ground, remember that a=v/t. You are trying to find v (the speed), and you have t. You also have a, which is the acceleration due to gravity, 9.8 m/s2. You just need to do simple algebra for both of these problems.

Oh, by the way, remember that if something just has a velocity, its acceleration is zero. The equations you have listed are more complicated than this problem requires, but when you need them later, something moving with constant velocity has zero acceleration. So you might just need the x0 + v0t parts of the equation, for example.
 
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