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

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SUMMARY

The discussion focuses on calculating the speed of a roller coaster at point A, given initial conditions of 10 m/s velocity, 100 m height, and a mass of 1000 kg. The user applied the kinematic equation Vf² = Vo² + 2aΔH to find the final velocity (Vf) at the starting point, resulting in 45.4 m/s. The user also mentioned the importance of conservation of energy principles in this context, emphasizing that gravitational acceleration (g) should not be treated merely as an acceleration value.

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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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