How long will it take an object dropped from a 550 foot tall tower to land on the roof of a 233 foot tall building?

Answer 1

If there is no air resistance, just set the fall distance y equal to (1/2)gt^2 and solve for t.

y = (550 - 233) ft = ? feet

g = 32 ft/s^2

y = (1/2)gt^2

t = (2y/g)^1/2

Plug in the numbers and get t in seconds.