Question

the free - fall function to calculate velocity, v, of an object that begins at rest and falls for distance d is $v(d)=sqrt{2gd}$, 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 free - fall. use $g = 9.8 m/s^{2}$. enter your answer, rounded to the nearest tenth, in the box. $v(55)=square m/s$

Explanation:

Step1: Substitute values into formula

Given $g = 9.8\ m/s^{2}$ and $d = 55\ m$, substitute into $v(d)=\sqrt{2gd}$. So $v(55)=\sqrt{2\times9.8\times55}$.

Step2: Calculate the product inside square - root

First, calculate $2\times9.8\times55$. $2\times9.8 = 19.6$, and $19.6\times55=1078$. So $v(55)=\sqrt{1078}$.

Step3: Find the square - root and round

$\sqrt{1078}\approx32.8$.

Answer:

$32.8$