What is the formula for finding the speed of a roller coaster at point A?

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Homework Help Overview

The discussion revolves around calculating the speed of a roller coaster at a specific point (point A) given its initial conditions, including initial velocity, height, and mass. The problem involves concepts from mechanics, particularly kinematics and energy conservation.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants explore kinematic equations to find the final velocity at point A, with some attempting to apply the conservation of energy principle. There is a discussion about the appropriateness of using gravitational acceleration in their calculations.

Discussion Status

Some participants have provided equations and attempted calculations, while others have raised questions about the underlying principles, such as energy conservation. There is no explicit consensus on the best approach yet, but various lines of reasoning are being explored.

Contextual Notes

Participants are working with specific values for initial velocity, height, and gravitational acceleration, but there may be assumptions about the system that are not fully articulated. The discussion reflects a mix of methods and interpretations regarding the physics involved.

badtwistoffate
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Roller coaster Vel. Initial=10m/s, Height initial=100m, and the mass of the coaster is 1000kg all at the starting point (*).
Have to find the speed of coaster at point A, point A's height is the same as the starting points, b is 1/2 of a's height, c's height is zero.
Coaster kinda looks like: * is starting point

........../
..._*_..._A_....../
.../----\.../---\..._B_.../
.../------\__/-----\__/----\.../
__/-------------------------\_c_/


I found Vf of the starting point with vf^2=vo^2+2 a deltaH
and used that Vel for Vo when i do it again but for point h.
what should I do?, my Vf of the starting point i got was 45.4m/s
 
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vf^2 = vo^2+ 2*a*(xi-xf)

Vo = 10 each time
a = 9.81 each time
xi = 100 each time
xf = height above ground

this should work
 
what about conservation of energy?
 
I hope ViewtifulBeau realizes that that equation
comes from (as a special case) Energy conservation.

I DO wish you folks would stop treating "g" as an acceleration!
 

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