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The velocity of the rollercoaster going down the hill is equal to 5.270 m/s.

Given the following data:

  • Mass of rollercoaster = 1,800 kilograms.
  • Kinetic energy =25,000 Joules.

To calculate the velocity of the rollercoaster going down the hill:

Formula for kinetic energy.

Mathematically, kinetic energy is calculated by using the formula;

[tex]K.E = \frac{1}{2} MV^2[/tex]

Where:

  • K.E is the kinetic energy.
  • M is the mass of an object.
  • V is the velocity of an object.

Making V the subject of formula, we have:

[tex]V =\sqrt{\frac{2K.E}{M} }[/tex]

Substituting the given parameters into the formula, we have;

[tex]V =\sqrt{\frac{2\times 25000}{1800} }\\\\V=\sqrt{27.7778}[/tex]

Velocity, V = 5.270 m/s

Read more on kinetic energy here: https://brainly.com/question/17081653