A payload is released at an elevation of 500m from a hot-air balloon rising at a rate of 14 m/s

v(t)=?

How would I go about starting this problem? I know that the procedure is relatively simple but I am beyond rusty and second guess myself too much.

Any help would be greatly appreciated
gedies @ gmail (dot) com

1 answer

Hi = 500
Vi = +14

v = Vi - 9.8 t
v = 14 - 9.8 t
at top, v = 0
so at top
t = 14/9.8

h = Hi + Vi t - (9.8/2) t^2
so for example max height is
h = 500+14 (14/9.8)-(9.8/2)(14^2)/9.8^2
or
h = 500 + (1/2)(14^2)/9.8 at top