Asquare-based shipping crate is being designed that must contain a volume of 16 ft3 . the material that is used for the base and the lid costs 3 dollars/ft2 , while the material used for the sides costs 2 dollars/ft2 . what are the most cost-effective dimensions of such a crate?

Explanation:

Given

volume

Suppose base is square with side L

height of crate is h

Volume

Cost of top and bottom area

Cost of Side area

Total Cost

Total Cost

Differentiate C w.r.t Length

Dimensions are    

we're given that v₀ = 0 and a = 5.4 m/s². therefore, since v = at + v₀ for constant acceleration the equation for velocity is

after 28s,

m/s

which i would round to 150 m/s as my final answer