Question

What is the velocity of a rollercoaster at the bottom of a track that is 70.5 m high if it starts from rest?

Answer 1

Given

The height of the rollercoaster, h=70.5 m

Initial velocity is zero

To find

The velocity at the bottom

Step-by-step explanation

Let the velocity be v

By conservation of energy,

Kinetic energy at the bottom is equal to the potential energy at the top

`\begin{gathered} (1)/(2)mv^2=mgh \\ \Rightarrow v=√(2gh) \\ \Rightarrow v=√(2*9.8*70.5)=37.17\text{ m/s} \end{gathered}`

Conclusion

The velocity is 37.17 m/s