Question

the freefall function to calculate velocity, v, of an object that begins at rest and falls for distance d is ( v(d)=sqrt{2 g d} ). 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 mathrm{~m} / mathrm{s}^{2} ). enter your answer, rounded to the nearest tenth, in the box. ( v(55)=square mathrm{m} / mathrm{s} )

Explanation:

Step1: Substitute the values into the formula

Given \(v(d)=\sqrt{2gd}\), \(g = 9.8\) and \(d = 55\). Substitute these values into the formula: \(v(55)=\sqrt{2\times9.8\times55}\).
First, calculate \(2\times9.8\times55\).
\(2\times9.8\times55=(2\times55)\times9.8 = 110\times9.8=1078\).

Step2: Calculate the square - root

Now, find \(\sqrt{1078}\). Using a calculator, \(\sqrt{1078}\approx32.8\).

Answer:

\(32.8\)