height versus drop

Question

A helicopter flying at an altitude of 600ft dropped a package to a lifeboat. Use the formula t=square root of h/4 to find how many seconds it takes for the package to reach the lifeboat. Round your answer to the nearest tenth of a second.

Answer 1

600 feet package dropped to sea level

how long?

h = -16t^2 + 6000 = 0

t^2 = 6000/16 = 1500/4 = 375

t = sqr375 = sqr(25)sqr15 = 5sqr15

= about 19.365 seconds

= 19.4

rounded to nearest tenth