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A child on a sled has a horizontal velocity ($v$) of $6.0\text{ m/s}$ after going down a snowy hill when the child and sled combination encounters a smaller hill. It is assumed that:

  • The child and the sled have a total mass of $45\text{ kg}$.
  • Friction and air resistance are negligible.
  • The child and sled coast to a complete stop at the top of the smaller hill.

Which of the following most closely approximates the height of the smaller hill?

A

$0.31\text{ m}$

B

$0.93\text{ m}$

C

$1.8\text{ m}$

D

$18\text{ m}$

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