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To solve this we are going to use the kinematic equation for final velocity: 
where
is the final velocity
is the initial velocity
is the acceleration
is the time
We know for our problem that the the velocity at the beginning of the slope is
, so 
. We also know that the speed ad the bottom of the slope is 
, so 
. We also know that the acceleration is 
, so 
. Lets replace those values in our formula and solve for :
seconds
We can conclude that it takes the roller coaster 3 seconds to reach the bottom of the slope.
where
We know for our problem that the the velocity at the beginning of the slope is
We can conclude that it takes the roller coaster 3 seconds to reach the bottom of the slope.