Answer to Question #241659 in Mechanics | Relativity for marian

Question

Yumi is riding the Giant Drop at Great America. If Upton free falls for 4.70 seconds, what will be her final velocity and how far will he fall?

Answer 1

Explanations & Calculations

• Freefall takes place under gravitational acceleration which is uniform throughout the fall thus enabling the usage of the 4 motion equation for the situation.
• To calculate the final velocity, you can simply use $\small v=u+at$ out of the 4.

$\qquad\qquad \begin{aligned} \small v&=u+at\\ &=\small 0+gt=9.81ms^{-2}\times4.70s\\ &=\small \bold{46.10\,ms^{-1}}\\ \end{aligned}$

• To find how deep he would fall, you can simply use $\small x=x_0+ut+\frac{1}{2}at^2$. Since all the measurements are done with respect to the starting point $\small x_0=0,\,u=0$. Then,

$\qquad\qquad \begin{aligned} \small s&=\small gt^2\\ &=\small 9.81ms^{-1}\times(4.71s)^2\\ &=\small \bold{217\,m} \end{aligned}$

• Air resistance is neglected