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