Quote:

A student designs a special container as a part of an egg-drop experiment.

She believes the container can withstand a fall as long as the speed of the container does not exceed 80 ft/s.

She uses this equation: $\displaystyle v\:=\:\sqrt{v_o^2 +2ad}$ to model the velocity $\displaystyle v$ in ft/sec,

as a function of constant acceleration, $\displaystyle a = 32 \text{ft/sec}^2$ and the drop distance $\displaystyle d$ in feet.

a) Will the egg break if the student drops the egg from shoulder height (5 ft) off a building 80 ft high?

I did so far: $\displaystyle v\:=\:\sqrt{v_o^2+2(32)(85)}$