SOLUTION: A roller-coaster car shown below is pulled up to point 1 where it is released from rest. Assumiming no friction. Calculate the speed at points 2, 3, and 4. Height 1=32m Height

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Question 1161488: A roller-coaster car shown below is pulled up to point 1 where it is released from rest. Assumiming no friction. Calculate the speed at points 2, 3, and 4.
Height 1=32m
Height 2= 0
Height 3= 26 m
Height 4= 14 m

Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
Let , , , and be the velocities of roller coaster at different points, and ,, , and be the height of the points respectively.

Write the given values of question.




we know start is at point , so
Write the expression for conservation of energy between points 1 and 2 and substitute the above values.


...........simplify



........plug in and






....simplify and substitute known











....simplify
......substitute known









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