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__PROBLEM__

The problem models a theme park ride similar to the 'Tower of Terror' or Drop Tower (photo below)

http://www.zamperla.com/uploads/product/big/Prodotti/tower-rides/flashtower_main.jpg

The carriage mass is 1532kg and carries a maximum number of 8 riders with an average of 75kg per person. The vehicle drops from the rest position at a height of 110,000mm until the position at 35,000mm from the ground level. After this position, constant brakes are applied to slow the vehicle down. Assuming there is no friction force along the track:

1) Calculate thhe velocity at the position where the brakes start to engage

2) Calculate the deceleration during braking

3) Using the energy method, calculate the brake force and the energy required to bring the carriage to a stop (900mm above ground level)

__NEXT STEP__

Every time I look at this, I get new ideas about where to begin, but can never really settle, so if someone could point me in the right direction, it would be much appreciated.

1) I feel like this should just be v=ma by the distance, but that seems way too simple.

The total mass should be 2123kg, acceleration due to gravity is 9.8m/s^2, and its over a distance of 75,000mm.