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

9514 1404 393

Answer:

32.8 m/s

Explanation:

The function is actually ...

`v(d) = √(2gd)`

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

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

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