# Acceleration of Rollercoaster hill?

## Homework Statement

Calculate the acceleration of the train during the trip down the first hill

Time for train to go from top of hill to bottom:3.5 s
Time for train to pass point at top of hill 1.5s
Time for train to go from bottom to top of first hill:7 s
Time for train to pass point of bottom of hill:1s
Height of hill: 16.155 m

## Homework Equations

d=V(initial)(t)+.5(a)(t)^2

## The Attempt at a Solution

I tried using that equation but there is two variables missing distance and acceleration. I can't use the height of the hill because isn't this a x problem (parallel problem)? I don't understand how I can find the acceleration of the rollercoaster train during the trip down the hill with only this data.

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LowlyPion
Homework Helper
With no diagram you need to be more specific.

Okay I attached a diagram. As you can see, the train is going up and I'm trying to find the accel from the top of the hill to the bottom.

#### Attachments

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LowlyPion
Homework Helper
Until approved no one can see the picture.

But consider the potential energy at the top and the velocity it will have at the bottom of the hill.

m*g*h = 1/2*m*v2

so ...

v2 = 2*g*h

Also you should know that

v = a*t

Looks like you may have enough info after all.