Question

The freefall function to calculate velocity, v, of an object that begins at rest and falls for distance d is v(d) = 2gd , where g is the acceleration due to gravity. The Storm Runner roller coaster at Hershey Park drops 55 m. Use the free-fall function to calculate to the nearest tenth its velocity at the end of the freefall. Use g = 9.8 m/s2 Enter your answer, rounded to the nearest tenth, in the box. v(55) = m/s​

Answer 1

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Answer:

  32.8 m/s

Step-by-step explanation:

The function is actually ...

  $v(d) = \sqrt{2gd}$

Filling in the given values, the velocity is about ...

  $v(55) = \sqrt{2\cdot9.8\cdot55}=\sqrt{1078}\approx32.8\text{ m/s}$

The velocity at the end of the free-fall is about 32.8 meters per second.