Question

A roller coaster starts at rest from a height of 110 m, and accelerates down the track to a height of 10.0 m. Find the speed it can reach, assuming no friction.

Answer 1

110-10=.5*9.8*t^2

solve for t

then v=t*a

I think

Answer 2

\[v ^{2}=2gh\] since initial velocity is zero
here h=110-10
find v

Answer 3

here only conservative forces act and thus mechanical energy is conserved.
\[\Delta PE = KE \]
\[mg \Delta h = 1/2 mv^2\]
\[v=\sqrt{2gh}\]