Can somebody show I how get to 215ft/s for my answer from the following equation 500ft= √3 /2vt - 16*t² with.t= 1600ft/v

Answer 1

in ancient foot units
g = -32 ft/s^2
v = Vi - g t = Vi - 32 t
h = Hi + Vi t +(1/2) a t^2 + Hi + Vi t -16 t^2
evidently here
h = 500
Hinitial = 0
Vi = sqrt (3 / 2) v = initial speed up
t = 1600 / v
500 = 1.225 v (1600/v) - 16 (1600^2)/v^2
500 = 1960 - 4.10*10^7/v^2
4.1*10^7 = 1460 v^2
v^2 = 28055
v = 167 ah well, check my arithmetic

Answer 2

Thank